Least Common Multiple of 140 and 157

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 157 the smallest integer that is 21980 that is divisible by both numbers.

Least Common Multiple (LCM) of 140 and 157 is 21980.

LCM(140,157) = 21980

LCM of 140 and 157

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

LCM of:
and

Least Common Multiple of 140 and 157

LCM of 140 and 157 is 21980

Least common multiple can be found by multiplying the highest exponent prime factors of 140 and 157. First we will calculate the prime factors of 140 and 157.

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 157


157 157
1

Prime factors of 157 are 157. Prime factorization of 157 in exponential form is:

157 = 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 140 and 157.

LCM(140,157) = 22×51×71×1571
LCM(140,157) = 21980

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 157

List of positive integer factors of 157 that divides 157 without a remainder.

1, 157

Least Common Multiple of 140 and 157 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 157, than apply into the LCM equation.

GCF(140,157) = 1
LCM(140,157) = ( 140 × 157) / 1
LCM(140,157) = 21980 / 1
LCM(140,157) = 21980

Properties of LCM 140 and 157

(i) The LCM of 157 and 140 is associative

LCM of 140 and 157 = LCM of 157 and 140

Related Least Common Multiples of 140

Related Least Common Multiples of 157

Frequently Asked Questions on LCM of 140 and 157

1. What is the LCM of 140 and 157?

Answer: LCM of 140 and 157 is 21980.

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 157?

Answer: Factors of 157 are 1, 157. There are 2 integers that are factors of 157. The greatest factor of 157 is 157.

4. How to Find the LCM of 140 and 157?

Answer:

Least Common Multiple of 140 and 157 = 21980

Step 1: Find the prime factorization of 140

140 = 2 x 2 x 5 x 7

Step 2: Find the prime factorization of 157

157 = 157

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

LCM = 21980 = 2 x 2 x 5 x 7 x 157

Step 4: Therefore, the least common multiple of 140 and 157 is 21980.