Least Common Multiple of 149 and 153

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 153 the smallest integer that is 22797 that is divisible by both numbers.

Least Common Multiple (LCM) of 149 and 153 is 22797.

LCM(149,153) = 22797

LCM of 149 and 153

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

LCM of:
and

Least Common Multiple of 149 and 153

LCM of 149 and 153 is 22797

Least common multiple can be found by multiplying the highest exponent prime factors of 149 and 153. First we will calculate the prime factors of 149 and 153.

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 153


3 153
3 51
17 17
1

Prime factors of 153 are 3,17. Prime factorization of 153 in exponential form is:

153 = 32×171

Now multiplying the highest exponent prime factors to calculate the LCM of 149 and 153.

LCM(149,153) = 32×171×1491
LCM(149,153) = 22797

Factors of 149

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

1, 149

Factors of 153

List of positive integer factors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Least Common Multiple of 149 and 153 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 153, than apply into the LCM equation.

GCF(149,153) = 1
LCM(149,153) = ( 149 × 153) / 1
LCM(149,153) = 22797 / 1
LCM(149,153) = 22797

Properties of LCM 149 and 153

(i) The LCM of 153 and 149 is associative

LCM of 149 and 153 = LCM of 153 and 149

Related Least Common Multiples of 149

Related Least Common Multiples of 153

Frequently Asked Questions on LCM of 149 and 153

1. What is the LCM of 149 and 153?

Answer: LCM of 149 and 153 is 22797.

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 153?

Answer: Factors of 153 are 1, 3, 9, 17, 51, 153. There are 6 integers that are factors of 153. The greatest factor of 153 is 153.

4. How to Find the LCM of 149 and 153?

Answer:

Least Common Multiple of 149 and 153 = 22797

Step 1: Find the prime factorization of 149

149 = 149

Step 2: Find the prime factorization of 153

153 = 3 x 3 x 17

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

LCM = 22797 = 3 x 3 x 17 x 149

Step 4: Therefore, the least common multiple of 149 and 153 is 22797.