Least Common Multiple of 156 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 156 and 160 the smallest integer that is 6240 that is divisible by both numbers.

Least Common Multiple (LCM) of 156 and 160 is 6240.

LCM(156,160) = 6240

LCM of 156 and 160

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

LCM of:
and

Least Common Multiple of 156 and 160

LCM of 156 and 160 is 6240

Least common multiple can be found by multiplying the highest exponent prime factors of 156 and 160. First we will calculate the prime factors of 156 and 160.

Prime Factorization of 156


2 156
2 78
3 39
13 13
1

Prime factors of 156 are 2, 3,13. Prime factorization of 156 in exponential form is:

156 = 22×31×131

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 156 and 160.

LCM(156,160) = 25×31×51×131
LCM(156,160) = 6240

Factors of 156

List of positive integer factors of 156 that divides 156 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

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 156 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 156 and 160, than apply into the LCM equation.

GCF(156,160) = 4
LCM(156,160) = ( 156 × 160) / 4
LCM(156,160) = 24960 / 4
LCM(156,160) = 6240

Properties of LCM 156 and 160

(i) The LCM of 160 and 156 is associative

LCM of 156 and 160 = LCM of 160 and 156

Related Least Common Multiples of 156

Related Least Common Multiples of 160

Frequently Asked Questions on LCM of 156 and 160

1. What is the LCM of 156 and 160?

Answer: LCM of 156 and 160 is 6240.

2. What are the Factors of 156?

Answer: Factors of 156 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156. There are 12 integers that are factors of 156. The greatest factor of 156 is 156.

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 156 and 160?

Answer:

Least Common Multiple of 156 and 160 = 6240

Step 1: Find the prime factorization of 156

156 = 2 x 2 x 3 x 13

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 = 6240 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 13

Step 4: Therefore, the least common multiple of 156 and 160 is 6240.