Least Common Multiple of 149 and 156

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 156 the smallest integer that is 23244 that is divisible by both numbers.

Least Common Multiple (LCM) of 149 and 156 is 23244.

LCM(149,156) = 23244

LCM of 149 and 156

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

LCM of:
and

Least Common Multiple of 149 and 156

LCM of 149 and 156 is 23244

Least common multiple can be found by multiplying the highest exponent prime factors of 149 and 156. First we will calculate the prime factors of 149 and 156.

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 156


2 156
2 78
3 39
13 13
1

Prime factors of 156 are 2, 3,13. Prime factorization of 156 in exponential form is:

156 = 22×31×131

Now multiplying the highest exponent prime factors to calculate the LCM of 149 and 156.

LCM(149,156) = 22×31×131×1491
LCM(149,156) = 23244

Factors of 149

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

1, 149

Factors of 156

List of positive integer factors of 156 that divides 156 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Least Common Multiple of 149 and 156 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 156, than apply into the LCM equation.

GCF(149,156) = 1
LCM(149,156) = ( 149 × 156) / 1
LCM(149,156) = 23244 / 1
LCM(149,156) = 23244

Properties of LCM 149 and 156

(i) The LCM of 156 and 149 is associative

LCM of 149 and 156 = LCM of 156 and 149

Related Least Common Multiples of 149

Related Least Common Multiples of 156

Frequently Asked Questions on LCM of 149 and 156

1. What is the LCM of 149 and 156?

Answer: LCM of 149 and 156 is 23244.

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 156?

Answer: Factors of 156 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156. There are 12 integers that are factors of 156. The greatest factor of 156 is 156.

4. How to Find the LCM of 149 and 156?

Answer:

Least Common Multiple of 149 and 156 = 23244

Step 1: Find the prime factorization of 149

149 = 149

Step 2: Find the prime factorization of 156

156 = 2 x 2 x 3 x 13

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

LCM = 23244 = 2 x 2 x 3 x 13 x 149

Step 4: Therefore, the least common multiple of 149 and 156 is 23244.