Least Common Multiple of 146 and 149

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 146 and 149 the smallest integer that is 21754 that is divisible by both numbers.

Least Common Multiple (LCM) of 146 and 149 is 21754.

LCM(146,149) = 21754

LCM of 146 and 149

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

LCM of:
and

Least Common Multiple of 146 and 149

LCM of 146 and 149 is 21754

Least common multiple can be found by multiplying the highest exponent prime factors of 146 and 149. First we will calculate the prime factors of 146 and 149.

Prime Factorization of 146


2 146
73 73
1

Prime factors of 146 are 2,73. Prime factorization of 146 in exponential form is:

146 = 21×731

Prime Factorization of 149


149 149
1

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

149 = 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 146 and 149.

LCM(146,149) = 21×731×1491
LCM(146,149) = 21754

Factors of 146

List of positive integer factors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Factors of 149

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

1, 149

Least Common Multiple of 146 and 149 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 146 and 149, than apply into the LCM equation.

GCF(146,149) = 1
LCM(146,149) = ( 146 × 149) / 1
LCM(146,149) = 21754 / 1
LCM(146,149) = 21754

Properties of LCM 146 and 149

(i) The LCM of 149 and 146 is associative

LCM of 146 and 149 = LCM of 149 and 146

Related Least Common Multiples of 146

Related Least Common Multiples of 149

Frequently Asked Questions on LCM of 146 and 149

1. What is the LCM of 146 and 149?

Answer: LCM of 146 and 149 is 21754.

2. What are the Factors of 146?

Answer: Factors of 146 are 1, 2, 73, 146. There are 4 integers that are factors of 146. The greatest factor of 146 is 146.

3. 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.

4. How to Find the LCM of 146 and 149?

Answer:

Least Common Multiple of 146 and 149 = 21754

Step 1: Find the prime factorization of 146

146 = 2 x 73

Step 2: Find the prime factorization of 149

149 = 149

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

LCM = 21754 = 2 x 73 x 149

Step 4: Therefore, the least common multiple of 146 and 149 is 21754.