Least Common Multiple of 149 and 154

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 154 the smallest integer that is 22946 that is divisible by both numbers.

Least Common Multiple (LCM) of 149 and 154 is 22946.

LCM(149,154) = 22946

LCM of 149 and 154

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

LCM of:
and

Least Common Multiple of 149 and 154

LCM of 149 and 154 is 22946

Least common multiple can be found by multiplying the highest exponent prime factors of 149 and 154. First we will calculate the prime factors of 149 and 154.

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 154


2 154
7 77
11 11
1

Prime factors of 154 are 2, 7,11. Prime factorization of 154 in exponential form is:

154 = 21×71×111

Now multiplying the highest exponent prime factors to calculate the LCM of 149 and 154.

LCM(149,154) = 21×71×111×1491
LCM(149,154) = 22946

Factors of 149

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

1, 149

Factors of 154

List of positive integer factors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Least Common Multiple of 149 and 154 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 154, than apply into the LCM equation.

GCF(149,154) = 1
LCM(149,154) = ( 149 × 154) / 1
LCM(149,154) = 22946 / 1
LCM(149,154) = 22946

Properties of LCM 149 and 154

(i) The LCM of 154 and 149 is associative

LCM of 149 and 154 = LCM of 154 and 149

Related Least Common Multiples of 149

Related Least Common Multiples of 154

Frequently Asked Questions on LCM of 149 and 154

1. What is the LCM of 149 and 154?

Answer: LCM of 149 and 154 is 22946.

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 154?

Answer: Factors of 154 are 1, 2, 7, 11, 14, 22, 77, 154. There are 8 integers that are factors of 154. The greatest factor of 154 is 154.

4. How to Find the LCM of 149 and 154?

Answer:

Least Common Multiple of 149 and 154 = 22946

Step 1: Find the prime factorization of 149

149 = 149

Step 2: Find the prime factorization of 154

154 = 2 x 7 x 11

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

LCM = 22946 = 2 x 7 x 11 x 149

Step 4: Therefore, the least common multiple of 149 and 154 is 22946.