Least Common Multiple of 140 and 156

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 140 and 156 the smallest integer that is 5460 that is divisible by both numbers.

Least Common Multiple (LCM) of 140 and 156 is 5460.

LCM(140,156) = 5460

LCM of 140 and 156

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

LCM of:
and

Least Common Multiple of 140 and 156

LCM of 140 and 156 is 5460

Least common multiple can be found by multiplying the highest exponent prime factors of 140 and 156. First we will calculate the prime factors of 140 and 156.

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

Prime Factorization of 156


2 156
2 78
3 39
13 13
1

Prime factors of 156 are 2, 3,13. Prime factorization of 156 in exponential form is:

156 = 22×31×131

Now multiplying the highest exponent prime factors to calculate the LCM of 140 and 156.

LCM(140,156) = 22×31×51×71×131
LCM(140,156) = 5460

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

Factors of 156

List of positive integer factors of 156 that divides 156 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Least Common Multiple of 140 and 156 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 140 and 156, than apply into the LCM equation.

GCF(140,156) = 4
LCM(140,156) = ( 140 × 156) / 4
LCM(140,156) = 21840 / 4
LCM(140,156) = 5460

Properties of LCM 140 and 156

(i) The LCM of 156 and 140 is associative

LCM of 140 and 156 = LCM of 156 and 140

Related Least Common Multiples of 140

Related Least Common Multiples of 156

Frequently Asked Questions on LCM of 140 and 156

1. What is the LCM of 140 and 156?

Answer: LCM of 140 and 156 is 5460.

2. 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.

3. What are the Factors of 156?

Answer: Factors of 156 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156. There are 12 integers that are factors of 156. The greatest factor of 156 is 156.

4. How to Find the LCM of 140 and 156?

Answer:

Least Common Multiple of 140 and 156 = 5460

Step 1: Find the prime factorization of 140

140 = 2 x 2 x 5 x 7

Step 2: Find the prime factorization of 156

156 = 2 x 2 x 3 x 13

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

LCM = 5460 = 2 x 2 x 3 x 5 x 7 x 13

Step 4: Therefore, the least common multiple of 140 and 156 is 5460.