Free LCM Calculator identify the least common multiple (LCM) between 8 and also 12 the the smallest integer the is 24 the is divisible through both numbers.

You are watching: Which is the least common multiple of 12 and 8

Least common Multiple (LCM) that 8 and 12 is 24.

LCM(8,12) = 24


Least common multiple deserve to be discovered by multiplying the highest exponent prime determinants of 8 and 12. Very first we will certainly calculate the prime components of 8 and 12.

Prime factorization of 8

2 8
2 4
2 2
1

Prime determinants of 8 are 2. Prime factorization of 8 in exponential form is:

8 = 23Prime administrate of 12

2 12
2 6
3 3
1

Prime components of 12 room 2,3. Prime factorization the 12 in exponential kind is:

12 = 22×31Now multiply the highest possible exponent prime factors to calculate the LCM the 8 and also 12.

LCM(8,12) = 23×31LCM(8,12) = 24

Factors that 8

List of optimistic integer factors of 8 the divides 8 without a remainder.

1, 2, 4, 8

Factors that 12

List of positive integer components of 12 the divides 12 without a remainder.

1, 2, 3, 4, 6, 12


Least typical Multiple the 8 and also 12 v GCF Formula


The formula the LCM is LCM(a,b) = ( a × b) / GCF(a,b).We have to calculate greatest typical factor 8 and 12, than apply into the LCM equation.

GCF(8,12) = 4LCM(8,12) = ( 8 × 12) / 4LCM(8,12) = 96 / 4LCM(8,12) = 24


Properties the LCM 8 and 12


(i) The LCM of 12 and 8 is associative

LCM of 8 and also 12 = LCM that 12 and also 8


Related Least usual Multiples of 8
Related Least usual Multiples the 12

Frequently Asked questions on LCM the 8 and 12


1. What is the LCM of 8 and 12?

Answer: LCM that 8 and also 12 is 24.

2. What space the determinants of 8?

Answer: factors of 8 room 1, 2, 4, 8. There space 4 integers that are components of 8. The greatest variable of 8 is 8.

3. What room the determinants of 12?

Answer: determinants of 12 space 1, 2, 3, 4, 6, 12. There room 6 integers the are determinants of 12. The greatest element of 12 is 12.

See more: How Many Yards Does A Dump Truck Hold ? How Many Yards Does A Dump Truck And Pup Hold

4. Exactly how to find the LCM that 8 and also 12?

Answer:

Least usual Multiple of 8 and also 12 = 24

Step 1: uncover the prime factorization the 8

8 = 2 x 2 x 2

Step 2: find the prime factorization the 12

12 = 2 x 2 x 3

Step 3: multiply each aspect the greater variety of times it occurs in measures i) or ii) over to discover the lcm:

LCM = 24 = 2 x 2 x 2 x 3

Step 4: Therefore, the least usual multiple of 8 and also 12 is 24.


favorite Calculators
Most renowned
agency Follow us