Least Common Multiple of 140 and 154

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 154 the smallest integer that is 1540 that is divisible by both numbers.

Least Common Multiple (LCM) of 140 and 154 is 1540.

LCM(140,154) = 1540

LCM of 140 and 154

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

LCM of:
and

Least Common Multiple of 140 and 154

LCM of 140 and 154 is 1540

Least common multiple can be found by multiplying the highest exponent prime factors of 140 and 154. First we will calculate the prime factors of 140 and 154.

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 154


2 154
7 77
11 11
1

Prime factors of 154 are 2, 7,11. Prime factorization of 154 in exponential form is:

154 = 21×71×111

Now multiplying the highest exponent prime factors to calculate the LCM of 140 and 154.

LCM(140,154) = 22×51×71×111
LCM(140,154) = 1540

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 154

List of positive integer factors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Least Common Multiple of 140 and 154 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 154, than apply into the LCM equation.

GCF(140,154) = 14
LCM(140,154) = ( 140 × 154) / 14
LCM(140,154) = 21560 / 14
LCM(140,154) = 1540

Properties of LCM 140 and 154

(i) The LCM of 154 and 140 is associative

LCM of 140 and 154 = LCM of 154 and 140

Related Least Common Multiples of 140

Related Least Common Multiples of 154

Frequently Asked Questions on LCM of 140 and 154

1. What is the LCM of 140 and 154?

Answer: LCM of 140 and 154 is 1540.

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 154?

Answer: Factors of 154 are 1, 2, 7, 11, 14, 22, 77, 154. There are 8 integers that are factors of 154. The greatest factor of 154 is 154.

4. How to Find the LCM of 140 and 154?

Answer:

Least Common Multiple of 140 and 154 = 1540

Step 1: Find the prime factorization of 140

140 = 2 x 2 x 5 x 7

Step 2: Find the prime factorization of 154

154 = 2 x 7 x 11

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

LCM = 1540 = 2 x 2 x 5 x 7 x 11

Step 4: Therefore, the least common multiple of 140 and 154 is 1540.