Least Common Multiple of 136 and 142

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 142 the smallest integer that is 9656 that is divisible by both numbers.

Least Common Multiple (LCM) of 136 and 142 is 9656.

LCM(136,142) = 9656

LCM of 136 and 142

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

LCM of:
and

Least Common Multiple of 136 and 142

LCM of 136 and 142 is 9656

Least common multiple can be found by multiplying the highest exponent prime factors of 136 and 142. First we will calculate the prime factors of 136 and 142.

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 142


2 142
71 71
1

Prime factors of 142 are 2,71. Prime factorization of 142 in exponential form is:

142 = 21×711

Now multiplying the highest exponent prime factors to calculate the LCM of 136 and 142.

LCM(136,142) = 23×171×711
LCM(136,142) = 9656

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 142

List of positive integer factors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Least Common Multiple of 136 and 142 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 142, than apply into the LCM equation.

GCF(136,142) = 2
LCM(136,142) = ( 136 × 142) / 2
LCM(136,142) = 19312 / 2
LCM(136,142) = 9656

Properties of LCM 136 and 142

(i) The LCM of 142 and 136 is associative

LCM of 136 and 142 = LCM of 142 and 136

Related Least Common Multiples of 136

Related Least Common Multiples of 142

Frequently Asked Questions on LCM of 136 and 142

1. What is the LCM of 136 and 142?

Answer: LCM of 136 and 142 is 9656.

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 142?

Answer: Factors of 142 are 1, 2, 71, 142. There are 4 integers that are factors of 142. The greatest factor of 142 is 142.

4. How to Find the LCM of 136 and 142?

Answer:

Least Common Multiple of 136 and 142 = 9656

Step 1: Find the prime factorization of 136

136 = 2 x 2 x 2 x 17

Step 2: Find the prime factorization of 142

142 = 2 x 71

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

LCM = 9656 = 2 x 2 x 2 x 17 x 71

Step 4: Therefore, the least common multiple of 136 and 142 is 9656.