Least Common Multiple of 136 and 144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 136 and 144 the smallest integer that is 2448 that is divisible by both numbers.

Least Common Multiple (LCM) of 136 and 144 is 2448.

LCM(136,144) = 2448

LCM of 136 and 144

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 136 and 144

LCM of 136 and 144 is 2448

Least common multiple can be found by multiplying the highest exponent prime factors of 136 and 144. First we will calculate the prime factors of 136 and 144.

Prime Factorization of 136


2 136
2 68
2 34
17 17
1

Prime factors of 136 are 2,17. Prime factorization of 136 in exponential form is:

136 = 23×171

Prime Factorization of 144


2 144
2 72
2 36
2 18
3 9
3 3
1

Prime factors of 144 are 2,3. Prime factorization of 144 in exponential form is:

144 = 24×32

Now multiplying the highest exponent prime factors to calculate the LCM of 136 and 144.

LCM(136,144) = 24×32×171
LCM(136,144) = 2448

Factors of 136

List of positive integer factors of 136 that divides 136 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Least Common Multiple of 136 and 144 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 136 and 144, than apply into the LCM equation.

GCF(136,144) = 8
LCM(136,144) = ( 136 × 144) / 8
LCM(136,144) = 19584 / 8
LCM(136,144) = 2448

Properties of LCM 136 and 144

(i) The LCM of 144 and 136 is associative

LCM of 136 and 144 = LCM of 144 and 136

Related Least Common Multiples of 136

Related Least Common Multiples of 144

Frequently Asked Questions on LCM of 136 and 144

1. What is the LCM of 136 and 144?

Answer: LCM of 136 and 144 is 2448.

2. What are the Factors of 136?

Answer: Factors of 136 are 1, 2, 4, 8, 17, 34, 68, 136. There are 8 integers that are factors of 136. The greatest factor of 136 is 136.

3. What are the Factors of 144?

Answer: Factors of 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144. There are 15 integers that are factors of 144. The greatest factor of 144 is 144.

4. How to Find the LCM of 136 and 144?

Answer:

Least Common Multiple of 136 and 144 = 2448

Step 1: Find the prime factorization of 136

136 = 2 x 2 x 2 x 17

Step 2: Find the prime factorization of 144

144 = 2 x 2 x 2 x 2 x 3 x 3

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 2448 = 2 x 2 x 2 x 2 x 3 x 3 x 17

Step 4: Therefore, the least common multiple of 136 and 144 is 2448.