Least Common Multiple of 157 and 159

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 159 the smallest integer that is 24963 that is divisible by both numbers.

Least Common Multiple (LCM) of 157 and 159 is 24963.

LCM(157,159) = 24963

LCM of 157 and 159

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

LCM of:
and

Least Common Multiple of 157 and 159

LCM of 157 and 159 is 24963

Least common multiple can be found by multiplying the highest exponent prime factors of 157 and 159. First we will calculate the prime factors of 157 and 159.

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 159


3 159
53 53
1

Prime factors of 159 are 3,53. Prime factorization of 159 in exponential form is:

159 = 31×531

Now multiplying the highest exponent prime factors to calculate the LCM of 157 and 159.

LCM(157,159) = 31×531×1571
LCM(157,159) = 24963

Factors of 157

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

1, 157

Factors of 159

List of positive integer factors of 159 that divides 159 without a remainder.

1, 3, 53, 159

Least Common Multiple of 157 and 159 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 159, than apply into the LCM equation.

GCF(157,159) = 1
LCM(157,159) = ( 157 × 159) / 1
LCM(157,159) = 24963 / 1
LCM(157,159) = 24963

Properties of LCM 157 and 159

(i) The LCM of 159 and 157 is associative

LCM of 157 and 159 = LCM of 159 and 157

Related Least Common Multiples of 157

Related Least Common Multiples of 159

Frequently Asked Questions on LCM of 157 and 159

1. What is the LCM of 157 and 159?

Answer: LCM of 157 and 159 is 24963.

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 159?

Answer: Factors of 159 are 1, 3, 53, 159. There are 4 integers that are factors of 159. The greatest factor of 159 is 159.

4. How to Find the LCM of 157 and 159?

Answer:

Least Common Multiple of 157 and 159 = 24963

Step 1: Find the prime factorization of 157

157 = 157

Step 2: Find the prime factorization of 159

159 = 3 x 53

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

LCM = 24963 = 3 x 53 x 157

Step 4: Therefore, the least common multiple of 157 and 159 is 24963.