Least Common Multiple of 136 and 140

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 140 the smallest integer that is 4760 that is divisible by both numbers.

Least Common Multiple (LCM) of 136 and 140 is 4760.

LCM(136,140) = 4760

LCM of 136 and 140

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

LCM of:
and

Least Common Multiple of 136 and 140

LCM of 136 and 140 is 4760

Least common multiple can be found by multiplying the highest exponent prime factors of 136 and 140. First we will calculate the prime factors of 136 and 140.

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 140


2 140
2 70
5 35
7 7
1

Prime factors of 140 are 2, 5,7. Prime factorization of 140 in exponential form is:

140 = 22×51×71

Now multiplying the highest exponent prime factors to calculate the LCM of 136 and 140.

LCM(136,140) = 23×51×71×171
LCM(136,140) = 4760

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 140

List of positive integer factors of 140 that divides 140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Least Common Multiple of 136 and 140 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 140, than apply into the LCM equation.

GCF(136,140) = 4
LCM(136,140) = ( 136 × 140) / 4
LCM(136,140) = 19040 / 4
LCM(136,140) = 4760

Properties of LCM 136 and 140

(i) The LCM of 140 and 136 is associative

LCM of 136 and 140 = LCM of 140 and 136

Related Least Common Multiples of 136

Related Least Common Multiples of 140

Frequently Asked Questions on LCM of 136 and 140

1. What is the LCM of 136 and 140?

Answer: LCM of 136 and 140 is 4760.

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 140?

Answer: Factors of 140 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140. There are 12 integers that are factors of 140. The greatest factor of 140 is 140.

4. How to Find the LCM of 136 and 140?

Answer:

Least Common Multiple of 136 and 140 = 4760

Step 1: Find the prime factorization of 136

136 = 2 x 2 x 2 x 17

Step 2: Find the prime factorization of 140

140 = 2 x 2 x 5 x 7

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

LCM = 4760 = 2 x 2 x 2 x 5 x 7 x 17

Step 4: Therefore, the least common multiple of 136 and 140 is 4760.