Least Common Multiple of 152 and 157

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 152 and 157 the smallest integer that is 23864 that is divisible by both numbers.

Least Common Multiple (LCM) of 152 and 157 is 23864.

LCM(152,157) = 23864

LCM of 152 and 157

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

LCM of:
and

Least Common Multiple of 152 and 157

LCM of 152 and 157 is 23864

Least common multiple can be found by multiplying the highest exponent prime factors of 152 and 157. First we will calculate the prime factors of 152 and 157.

Prime Factorization of 152


2 152
2 76
2 38
19 19
1

Prime factors of 152 are 2,19. Prime factorization of 152 in exponential form is:

152 = 23×191

Prime Factorization of 157


157 157
1

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

157 = 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 152 and 157.

LCM(152,157) = 23×191×1571
LCM(152,157) = 23864

Factors of 152

List of positive integer factors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Factors of 157

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

1, 157

Least Common Multiple of 152 and 157 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 152 and 157, than apply into the LCM equation.

GCF(152,157) = 1
LCM(152,157) = ( 152 × 157) / 1
LCM(152,157) = 23864 / 1
LCM(152,157) = 23864

Properties of LCM 152 and 157

(i) The LCM of 157 and 152 is associative

LCM of 152 and 157 = LCM of 157 and 152

Related Least Common Multiples of 152

Related Least Common Multiples of 157

Frequently Asked Questions on LCM of 152 and 157

1. What is the LCM of 152 and 157?

Answer: LCM of 152 and 157 is 23864.

2. What are the Factors of 152?

Answer: Factors of 152 are 1, 2, 4, 8, 19, 38, 76, 152. There are 8 integers that are factors of 152. The greatest factor of 152 is 152.

3. 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.

4. How to Find the LCM of 152 and 157?

Answer:

Least Common Multiple of 152 and 157 = 23864

Step 1: Find the prime factorization of 152

152 = 2 x 2 x 2 x 19

Step 2: Find the prime factorization of 157

157 = 157

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

LCM = 23864 = 2 x 2 x 2 x 19 x 157

Step 4: Therefore, the least common multiple of 152 and 157 is 23864.