Least Common Multiple of 149 and 150

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 150 the smallest integer that is 22350 that is divisible by both numbers.

Least Common Multiple (LCM) of 149 and 150 is 22350.

LCM(149,150) = 22350

LCM of 149 and 150

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

LCM of:
and

Least Common Multiple of 149 and 150

LCM of 149 and 150 is 22350

Least common multiple can be found by multiplying the highest exponent prime factors of 149 and 150. First we will calculate the prime factors of 149 and 150.

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 150


2 150
3 75
5 25
5 5
1

Prime factors of 150 are 2, 3,5. Prime factorization of 150 in exponential form is:

150 = 21×31×52

Now multiplying the highest exponent prime factors to calculate the LCM of 149 and 150.

LCM(149,150) = 21×31×52×1491
LCM(149,150) = 22350

Factors of 149

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

1, 149

Factors of 150

List of positive integer factors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Least Common Multiple of 149 and 150 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 150, than apply into the LCM equation.

GCF(149,150) = 1
LCM(149,150) = ( 149 × 150) / 1
LCM(149,150) = 22350 / 1
LCM(149,150) = 22350

Properties of LCM 149 and 150

(i) The LCM of 150 and 149 is associative

LCM of 149 and 150 = LCM of 150 and 149

Related Least Common Multiples of 149

Related Least Common Multiples of 150

Frequently Asked Questions on LCM of 149 and 150

1. What is the LCM of 149 and 150?

Answer: LCM of 149 and 150 is 22350.

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 150?

Answer: Factors of 150 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150. There are 12 integers that are factors of 150. The greatest factor of 150 is 150.

4. How to Find the LCM of 149 and 150?

Answer:

Least Common Multiple of 149 and 150 = 22350

Step 1: Find the prime factorization of 149

149 = 149

Step 2: Find the prime factorization of 150

150 = 2 x 3 x 5 x 5

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

LCM = 22350 = 2 x 3 x 5 x 5 x 149

Step 4: Therefore, the least common multiple of 149 and 150 is 22350.