Least Common Multiple of 150 and 152

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 152 the smallest integer that is 11400 that is divisible by both numbers.

Least Common Multiple (LCM) of 150 and 152 is 11400.

LCM(150,152) = 11400

LCM of 150 and 152

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

LCM of:
and

Least Common Multiple of 150 and 152

LCM of 150 and 152 is 11400

Least common multiple can be found by multiplying the highest exponent prime factors of 150 and 152. First we will calculate the prime factors of 150 and 152.

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 152


2 152
2 76
2 38
19 19
1

Prime factors of 152 are 2,19. Prime factorization of 152 in exponential form is:

152 = 23×191

Now multiplying the highest exponent prime factors to calculate the LCM of 150 and 152.

LCM(150,152) = 23×31×52×191
LCM(150,152) = 11400

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 152

List of positive integer factors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Least Common Multiple of 150 and 152 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 152, than apply into the LCM equation.

GCF(150,152) = 2
LCM(150,152) = ( 150 × 152) / 2
LCM(150,152) = 22800 / 2
LCM(150,152) = 11400

Properties of LCM 150 and 152

(i) The LCM of 152 and 150 is associative

LCM of 150 and 152 = LCM of 152 and 150

Related Least Common Multiples of 150

Related Least Common Multiples of 152

Frequently Asked Questions on LCM of 150 and 152

1. What is the LCM of 150 and 152?

Answer: LCM of 150 and 152 is 11400.

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 152?

Answer: Factors of 152 are 1, 2, 4, 8, 19, 38, 76, 152. There are 8 integers that are factors of 152. The greatest factor of 152 is 152.

4. How to Find the LCM of 150 and 152?

Answer:

Least Common Multiple of 150 and 152 = 11400

Step 1: Find the prime factorization of 150

150 = 2 x 3 x 5 x 5

Step 2: Find the prime factorization of 152

152 = 2 x 2 x 2 x 19

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

LCM = 11400 = 2 x 2 x 2 x 3 x 5 x 5 x 19

Step 4: Therefore, the least common multiple of 150 and 152 is 11400.