Least Common Multiple of 157 and 158

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 158 the smallest integer that is 24806 that is divisible by both numbers.

Least Common Multiple (LCM) of 157 and 158 is 24806.

LCM(157,158) = 24806

LCM of 157 and 158

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

LCM of:
and

Least Common Multiple of 157 and 158

LCM of 157 and 158 is 24806

Least common multiple can be found by multiplying the highest exponent prime factors of 157 and 158. First we will calculate the prime factors of 157 and 158.

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 158


2 158
79 79
1

Prime factors of 158 are 2,79. Prime factorization of 158 in exponential form is:

158 = 21×791

Now multiplying the highest exponent prime factors to calculate the LCM of 157 and 158.

LCM(157,158) = 21×791×1571
LCM(157,158) = 24806

Factors of 157

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

1, 157

Factors of 158

List of positive integer factors of 158 that divides 158 without a remainder.

1, 2, 79, 158

Least Common Multiple of 157 and 158 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 158, than apply into the LCM equation.

GCF(157,158) = 1
LCM(157,158) = ( 157 × 158) / 1
LCM(157,158) = 24806 / 1
LCM(157,158) = 24806

Properties of LCM 157 and 158

(i) The LCM of 158 and 157 is associative

LCM of 157 and 158 = LCM of 158 and 157

Related Least Common Multiples of 157

Related Least Common Multiples of 158

Frequently Asked Questions on LCM of 157 and 158

1. What is the LCM of 157 and 158?

Answer: LCM of 157 and 158 is 24806.

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 158?

Answer: Factors of 158 are 1, 2, 79, 158. There are 4 integers that are factors of 158. The greatest factor of 158 is 158.

4. How to Find the LCM of 157 and 158?

Answer:

Least Common Multiple of 157 and 158 = 24806

Step 1: Find the prime factorization of 157

157 = 157

Step 2: Find the prime factorization of 158

158 = 2 x 79

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

LCM = 24806 = 2 x 79 x 157

Step 4: Therefore, the least common multiple of 157 and 158 is 24806.