Least Common Multiple of 140 and 160

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 160 the smallest integer that is 1120 that is divisible by both numbers.

Least Common Multiple (LCM) of 140 and 160 is 1120.

LCM(140,160) = 1120

LCM of 140 and 160

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

LCM of:
and

Least Common Multiple of 140 and 160

LCM of 140 and 160 is 1120

Least common multiple can be found by multiplying the highest exponent prime factors of 140 and 160. First we will calculate the prime factors of 140 and 160.

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 160


2 160
2 80
2 40
2 20
2 10
5 5
1

Prime factors of 160 are 2,5. Prime factorization of 160 in exponential form is:

160 = 25×51

Now multiplying the highest exponent prime factors to calculate the LCM of 140 and 160.

LCM(140,160) = 25×51×71
LCM(140,160) = 1120

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 160

List of positive integer factors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Least Common Multiple of 140 and 160 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 160, than apply into the LCM equation.

GCF(140,160) = 20
LCM(140,160) = ( 140 × 160) / 20
LCM(140,160) = 22400 / 20
LCM(140,160) = 1120

Properties of LCM 140 and 160

(i) The LCM of 160 and 140 is associative

LCM of 140 and 160 = LCM of 160 and 140

Related Least Common Multiples of 140

Related Least Common Multiples of 160

Frequently Asked Questions on LCM of 140 and 160

1. What is the LCM of 140 and 160?

Answer: LCM of 140 and 160 is 1120.

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 160?

Answer: Factors of 160 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160. There are 12 integers that are factors of 160. The greatest factor of 160 is 160.

4. How to Find the LCM of 140 and 160?

Answer:

Least Common Multiple of 140 and 160 = 1120

Step 1: Find the prime factorization of 140

140 = 2 x 2 x 5 x 7

Step 2: Find the prime factorization of 160

160 = 2 x 2 x 2 x 2 x 2 x 5

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

LCM = 1120 = 2 x 2 x 2 x 2 x 2 x 5 x 7

Step 4: Therefore, the least common multiple of 140 and 160 is 1120.