Least Common Multiple of 150 and 160

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 160 the smallest integer that is 2400 that is divisible by both numbers.

Least Common Multiple (LCM) of 150 and 160 is 2400.

LCM(150,160) = 2400

LCM of 150 and 160

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

LCM of:
and

Least Common Multiple of 150 and 160

LCM of 150 and 160 is 2400

Least common multiple can be found by multiplying the highest exponent prime factors of 150 and 160. First we will calculate the prime factors of 150 and 160.

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 160


2 160
2 80
2 40
2 20
2 10
5 5
1

Prime factors of 160 are 2,5. Prime factorization of 160 in exponential form is:

160 = 25×51

Now multiplying the highest exponent prime factors to calculate the LCM of 150 and 160.

LCM(150,160) = 25×31×52
LCM(150,160) = 2400

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 160

List of positive integer factors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Least Common Multiple of 150 and 160 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 160, than apply into the LCM equation.

GCF(150,160) = 10
LCM(150,160) = ( 150 × 160) / 10
LCM(150,160) = 24000 / 10
LCM(150,160) = 2400

Properties of LCM 150 and 160

(i) The LCM of 160 and 150 is associative

LCM of 150 and 160 = LCM of 160 and 150

Related Least Common Multiples of 150

Related Least Common Multiples of 160

Frequently Asked Questions on LCM of 150 and 160

1. What is the LCM of 150 and 160?

Answer: LCM of 150 and 160 is 2400.

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 160?

Answer: Factors of 160 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160. There are 12 integers that are factors of 160. The greatest factor of 160 is 160.

4. How to Find the LCM of 150 and 160?

Answer:

Least Common Multiple of 150 and 160 = 2400

Step 1: Find the prime factorization of 150

150 = 2 x 3 x 5 x 5

Step 2: Find the prime factorization of 160

160 = 2 x 2 x 2 x 2 x 2 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 = 2400 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5

Step 4: Therefore, the least common multiple of 150 and 160 is 2400.