Least Common Multiple of 140 and 151

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 151 the smallest integer that is 21140 that is divisible by both numbers.

Least Common Multiple (LCM) of 140 and 151 is 21140.

LCM(140,151) = 21140

LCM of 140 and 151

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

LCM of:
and

Least Common Multiple of 140 and 151

LCM of 140 and 151 is 21140

Least common multiple can be found by multiplying the highest exponent prime factors of 140 and 151. First we will calculate the prime factors of 140 and 151.

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 151


151 151
1

Prime factors of 151 are 151. Prime factorization of 151 in exponential form is:

151 = 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 140 and 151.

LCM(140,151) = 22×51×71×1511
LCM(140,151) = 21140

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 151

List of positive integer factors of 151 that divides 151 without a remainder.

1, 151

Least Common Multiple of 140 and 151 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 151, than apply into the LCM equation.

GCF(140,151) = 1
LCM(140,151) = ( 140 × 151) / 1
LCM(140,151) = 21140 / 1
LCM(140,151) = 21140

Properties of LCM 140 and 151

(i) The LCM of 151 and 140 is associative

LCM of 140 and 151 = LCM of 151 and 140

Related Least Common Multiples of 140

Related Least Common Multiples of 151

Frequently Asked Questions on LCM of 140 and 151

1. What is the LCM of 140 and 151?

Answer: LCM of 140 and 151 is 21140.

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 151?

Answer: Factors of 151 are 1, 151. There are 2 integers that are factors of 151. The greatest factor of 151 is 151.

4. How to Find the LCM of 140 and 151?

Answer:

Least Common Multiple of 140 and 151 = 21140

Step 1: Find the prime factorization of 140

140 = 2 x 2 x 5 x 7

Step 2: Find the prime factorization of 151

151 = 151

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

LCM = 21140 = 2 x 2 x 5 x 7 x 151

Step 4: Therefore, the least common multiple of 140 and 151 is 21140.