Least Common Multiple of 153 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 153 and 157 the smallest integer that is 24021 that is divisible by both numbers.

Least Common Multiple (LCM) of 153 and 157 is 24021.

LCM(153,157) = 24021

LCM of 153 and 157

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

LCM of:
and

Least Common Multiple of 153 and 157

LCM of 153 and 157 is 24021

Least common multiple can be found by multiplying the highest exponent prime factors of 153 and 157. First we will calculate the prime factors of 153 and 157.

Prime Factorization of 153


3 153
3 51
17 17
1

Prime factors of 153 are 3,17. Prime factorization of 153 in exponential form is:

153 = 32×171

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 153 and 157.

LCM(153,157) = 32×171×1571
LCM(153,157) = 24021

Factors of 153

List of positive integer factors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Factors of 157

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

1, 157

Least Common Multiple of 153 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 153 and 157, than apply into the LCM equation.

GCF(153,157) = 1
LCM(153,157) = ( 153 × 157) / 1
LCM(153,157) = 24021 / 1
LCM(153,157) = 24021

Properties of LCM 153 and 157

(i) The LCM of 157 and 153 is associative

LCM of 153 and 157 = LCM of 157 and 153

Related Least Common Multiples of 153

Related Least Common Multiples of 157

Frequently Asked Questions on LCM of 153 and 157

1. What is the LCM of 153 and 157?

Answer: LCM of 153 and 157 is 24021.

2. What are the Factors of 153?

Answer: Factors of 153 are 1, 3, 9, 17, 51, 153. There are 6 integers that are factors of 153. The greatest factor of 153 is 153.

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 153 and 157?

Answer:

Least Common Multiple of 153 and 157 = 24021

Step 1: Find the prime factorization of 153

153 = 3 x 3 x 17

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 = 24021 = 3 x 3 x 17 x 157

Step 4: Therefore, the least common multiple of 153 and 157 is 24021.