Least Common Multiple of 148 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 148 and 150 the smallest integer that is 11100 that is divisible by both numbers.

Least Common Multiple (LCM) of 148 and 150 is 11100.

LCM(148,150) = 11100

LCM of 148 and 150

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

LCM of:
and

Least Common Multiple of 148 and 150

LCM of 148 and 150 is 11100

Least common multiple can be found by multiplying the highest exponent prime factors of 148 and 150. First we will calculate the prime factors of 148 and 150.

Prime Factorization of 148


2 148
2 74
37 37
1

Prime factors of 148 are 2,37. Prime factorization of 148 in exponential form is:

148 = 22×371

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 148 and 150.

LCM(148,150) = 22×31×52×371
LCM(148,150) = 11100

Factors of 148

List of positive integer factors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

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 148 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 148 and 150, than apply into the LCM equation.

GCF(148,150) = 2
LCM(148,150) = ( 148 × 150) / 2
LCM(148,150) = 22200 / 2
LCM(148,150) = 11100

Properties of LCM 148 and 150

(i) The LCM of 150 and 148 is associative

LCM of 148 and 150 = LCM of 150 and 148

Related Least Common Multiples of 148

Related Least Common Multiples of 150

Frequently Asked Questions on LCM of 148 and 150

1. What is the LCM of 148 and 150?

Answer: LCM of 148 and 150 is 11100.

2. What are the Factors of 148?

Answer: Factors of 148 are 1, 2, 4, 37, 74, 148. There are 6 integers that are factors of 148. The greatest factor of 148 is 148.

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 148 and 150?

Answer:

Least Common Multiple of 148 and 150 = 11100

Step 1: Find the prime factorization of 148

148 = 2 x 2 x 37

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 = 11100 = 2 x 2 x 3 x 5 x 5 x 37

Step 4: Therefore, the least common multiple of 148 and 150 is 11100.