Least Common Multiple of 146 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 146 and 150 the smallest integer that is 10950 that is divisible by both numbers.

Least Common Multiple (LCM) of 146 and 150 is 10950.

LCM(146,150) = 10950

LCM of 146 and 150

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

LCM of:
and

Least Common Multiple of 146 and 150

LCM of 146 and 150 is 10950

Least common multiple can be found by multiplying the highest exponent prime factors of 146 and 150. First we will calculate the prime factors of 146 and 150.

Prime Factorization of 146


2 146
73 73
1

Prime factors of 146 are 2,73. Prime factorization of 146 in exponential form is:

146 = 21×731

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 146 and 150.

LCM(146,150) = 21×31×52×731
LCM(146,150) = 10950

Factors of 146

List of positive integer factors of 146 that divides 146 without a remainder.

1, 2, 73, 146

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 146 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 146 and 150, than apply into the LCM equation.

GCF(146,150) = 2
LCM(146,150) = ( 146 × 150) / 2
LCM(146,150) = 21900 / 2
LCM(146,150) = 10950

Properties of LCM 146 and 150

(i) The LCM of 150 and 146 is associative

LCM of 146 and 150 = LCM of 150 and 146

Related Least Common Multiples of 146

Related Least Common Multiples of 150

Frequently Asked Questions on LCM of 146 and 150

1. What is the LCM of 146 and 150?

Answer: LCM of 146 and 150 is 10950.

2. What are the Factors of 146?

Answer: Factors of 146 are 1, 2, 73, 146. There are 4 integers that are factors of 146. The greatest factor of 146 is 146.

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 146 and 150?

Answer:

Least Common Multiple of 146 and 150 = 10950

Step 1: Find the prime factorization of 146

146 = 2 x 73

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 = 10950 = 2 x 3 x 5 x 5 x 73

Step 4: Therefore, the least common multiple of 146 and 150 is 10950.