Least Common Multiple of 137 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 137 and 140 the smallest integer that is 19180 that is divisible by both numbers.

Least Common Multiple (LCM) of 137 and 140 is 19180.

LCM(137,140) = 19180

LCM of 137 and 140

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

LCM of:
and

Least Common Multiple of 137 and 140

LCM of 137 and 140 is 19180

Least common multiple can be found by multiplying the highest exponent prime factors of 137 and 140. First we will calculate the prime factors of 137 and 140.

Prime Factorization of 137


137 137
1

Prime factors of 137 are 137. Prime factorization of 137 in exponential form is:

137 = 1371

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 137 and 140.

LCM(137,140) = 22×51×71×1371
LCM(137,140) = 19180

Factors of 137

List of positive integer factors of 137 that divides 137 without a remainder.

1, 137

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 137 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 137 and 140, than apply into the LCM equation.

GCF(137,140) = 1
LCM(137,140) = ( 137 × 140) / 1
LCM(137,140) = 19180 / 1
LCM(137,140) = 19180

Properties of LCM 137 and 140

(i) The LCM of 140 and 137 is associative

LCM of 137 and 140 = LCM of 140 and 137

Related Least Common Multiples of 137

Related Least Common Multiples of 140

Frequently Asked Questions on LCM of 137 and 140

1. What is the LCM of 137 and 140?

Answer: LCM of 137 and 140 is 19180.

2. What are the Factors of 137?

Answer: Factors of 137 are 1, 137. There are 2 integers that are factors of 137. The greatest factor of 137 is 137.

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 137 and 140?

Answer:

Least Common Multiple of 137 and 140 = 19180

Step 1: Find the prime factorization of 137

137 = 137

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 = 19180 = 2 x 2 x 5 x 7 x 137

Step 4: Therefore, the least common multiple of 137 and 140 is 19180.