Least Common Multiple of 149 and 152

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 152 the smallest integer that is 22648 that is divisible by both numbers.

Least Common Multiple (LCM) of 149 and 152 is 22648.

LCM(149,152) = 22648

LCM of 149 and 152

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

LCM of:
and

Least Common Multiple of 149 and 152

LCM of 149 and 152 is 22648

Least common multiple can be found by multiplying the highest exponent prime factors of 149 and 152. First we will calculate the prime factors of 149 and 152.

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 152


2 152
2 76
2 38
19 19
1

Prime factors of 152 are 2,19. Prime factorization of 152 in exponential form is:

152 = 23×191

Now multiplying the highest exponent prime factors to calculate the LCM of 149 and 152.

LCM(149,152) = 23×191×1491
LCM(149,152) = 22648

Factors of 149

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

1, 149

Factors of 152

List of positive integer factors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Least Common Multiple of 149 and 152 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 152, than apply into the LCM equation.

GCF(149,152) = 1
LCM(149,152) = ( 149 × 152) / 1
LCM(149,152) = 22648 / 1
LCM(149,152) = 22648

Properties of LCM 149 and 152

(i) The LCM of 152 and 149 is associative

LCM of 149 and 152 = LCM of 152 and 149

Related Least Common Multiples of 149

Related Least Common Multiples of 152

Frequently Asked Questions on LCM of 149 and 152

1. What is the LCM of 149 and 152?

Answer: LCM of 149 and 152 is 22648.

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 152?

Answer: Factors of 152 are 1, 2, 4, 8, 19, 38, 76, 152. There are 8 integers that are factors of 152. The greatest factor of 152 is 152.

4. How to Find the LCM of 149 and 152?

Answer:

Least Common Multiple of 149 and 152 = 22648

Step 1: Find the prime factorization of 149

149 = 149

Step 2: Find the prime factorization of 152

152 = 2 x 2 x 2 x 19

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

LCM = 22648 = 2 x 2 x 2 x 19 x 149

Step 4: Therefore, the least common multiple of 149 and 152 is 22648.