Least Common Multiple of 157 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 157 and 160 the smallest integer that is 25120 that is divisible by both numbers.

Least Common Multiple (LCM) of 157 and 160 is 25120.

LCM(157,160) = 25120

LCM of 157 and 160

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

LCM of:
and

Least Common Multiple of 157 and 160

LCM of 157 and 160 is 25120

Least common multiple can be found by multiplying the highest exponent prime factors of 157 and 160. First we will calculate the prime factors of 157 and 160.

Prime Factorization of 157


157 157
1

Prime factors of 157 are 157. Prime factorization of 157 in exponential form is:

157 = 1571

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 157 and 160.

LCM(157,160) = 25×51×1571
LCM(157,160) = 25120

Factors of 157

List of positive integer factors of 157 that divides 157 without a remainder.

1, 157

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 157 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 157 and 160, than apply into the LCM equation.

GCF(157,160) = 1
LCM(157,160) = ( 157 × 160) / 1
LCM(157,160) = 25120 / 1
LCM(157,160) = 25120

Properties of LCM 157 and 160

(i) The LCM of 160 and 157 is associative

LCM of 157 and 160 = LCM of 160 and 157

Related Least Common Multiples of 157

Related Least Common Multiples of 160

Frequently Asked Questions on LCM of 157 and 160

1. What is the LCM of 157 and 160?

Answer: LCM of 157 and 160 is 25120.

2. What are the Factors of 157?

Answer: Factors of 157 are 1, 157. There are 2 integers that are factors of 157. The greatest factor of 157 is 157.

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 157 and 160?

Answer:

Least Common Multiple of 157 and 160 = 25120

Step 1: Find the prime factorization of 157

157 = 157

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 = 25120 = 2 x 2 x 2 x 2 x 2 x 5 x 157

Step 4: Therefore, the least common multiple of 157 and 160 is 25120.