Least Common Multiple of 149 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 149 and 157 the smallest integer that is 23393 that is divisible by both numbers.

Least Common Multiple (LCM) of 149 and 157 is 23393.

LCM(149,157) = 23393

LCM of 149 and 157

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

LCM of:
and

Least Common Multiple of 149 and 157

LCM of 149 and 157 is 23393

Least common multiple can be found by multiplying the highest exponent prime factors of 149 and 157. First we will calculate the prime factors of 149 and 157.

Prime Factorization of 149


149 149
1

Prime factors of 149 are 149. Prime factorization of 149 in exponential form is:

149 = 1491

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 149 and 157.

LCM(149,157) = 1491×1571
LCM(149,157) = 23393

Factors of 149

List of positive integer factors of 149 that divides 149 without a remainder.

1, 149

Factors of 157

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

1, 157

Least Common Multiple of 149 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 149 and 157, than apply into the LCM equation.

GCF(149,157) = 1
LCM(149,157) = ( 149 × 157) / 1
LCM(149,157) = 23393 / 1
LCM(149,157) = 23393

Properties of LCM 149 and 157

(i) The LCM of 157 and 149 is associative

LCM of 149 and 157 = LCM of 157 and 149

Related Least Common Multiples of 149

Related Least Common Multiples of 157

Frequently Asked Questions on LCM of 149 and 157

1. What is the LCM of 149 and 157?

Answer: LCM of 149 and 157 is 23393.

2. What are the Factors of 149?

Answer: Factors of 149 are 1, 149. There are 2 integers that are factors of 149. The greatest factor of 149 is 149.

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 149 and 157?

Answer:

Least Common Multiple of 149 and 157 = 23393

Step 1: Find the prime factorization of 149

149 = 149

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 = 23393 = 149 x 157

Step 4: Therefore, the least common multiple of 149 and 157 is 23393.