Least Common Multiple of 150 and 156

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 150 and 156 the smallest integer that is 3900 that is divisible by both numbers.

Least Common Multiple (LCM) of 150 and 156 is 3900.

LCM(150,156) = 3900

LCM of 150 and 156

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

LCM of:
and

Least Common Multiple of 150 and 156

LCM of 150 and 156 is 3900

Least common multiple can be found by multiplying the highest exponent prime factors of 150 and 156. First we will calculate the prime factors of 150 and 156.

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

Prime Factorization of 156


2 156
2 78
3 39
13 13
1

Prime factors of 156 are 2, 3,13. Prime factorization of 156 in exponential form is:

156 = 22×31×131

Now multiplying the highest exponent prime factors to calculate the LCM of 150 and 156.

LCM(150,156) = 22×31×52×131
LCM(150,156) = 3900

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

Factors of 156

List of positive integer factors of 156 that divides 156 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Least Common Multiple of 150 and 156 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 150 and 156, than apply into the LCM equation.

GCF(150,156) = 6
LCM(150,156) = ( 150 × 156) / 6
LCM(150,156) = 23400 / 6
LCM(150,156) = 3900

Properties of LCM 150 and 156

(i) The LCM of 156 and 150 is associative

LCM of 150 and 156 = LCM of 156 and 150

Related Least Common Multiples of 150

Related Least Common Multiples of 156

Frequently Asked Questions on LCM of 150 and 156

1. What is the LCM of 150 and 156?

Answer: LCM of 150 and 156 is 3900.

2. 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.

3. What are the Factors of 156?

Answer: Factors of 156 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156. There are 12 integers that are factors of 156. The greatest factor of 156 is 156.

4. How to Find the LCM of 150 and 156?

Answer:

Least Common Multiple of 150 and 156 = 3900

Step 1: Find the prime factorization of 150

150 = 2 x 3 x 5 x 5

Step 2: Find the prime factorization of 156

156 = 2 x 2 x 3 x 13

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

LCM = 3900 = 2 x 2 x 3 x 5 x 5 x 13

Step 4: Therefore, the least common multiple of 150 and 156 is 3900.