Least Common Multiple of 148 and 153

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 153 the smallest integer that is 22644 that is divisible by both numbers.

Least Common Multiple (LCM) of 148 and 153 is 22644.

LCM(148,153) = 22644

LCM of 148 and 153

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

LCM of:
and

Least Common Multiple of 148 and 153

LCM of 148 and 153 is 22644

Least common multiple can be found by multiplying the highest exponent prime factors of 148 and 153. First we will calculate the prime factors of 148 and 153.

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 153


3 153
3 51
17 17
1

Prime factors of 153 are 3,17. Prime factorization of 153 in exponential form is:

153 = 32×171

Now multiplying the highest exponent prime factors to calculate the LCM of 148 and 153.

LCM(148,153) = 22×32×171×371
LCM(148,153) = 22644

Factors of 148

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

1, 2, 4, 37, 74, 148

Factors of 153

List of positive integer factors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Least Common Multiple of 148 and 153 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 153, than apply into the LCM equation.

GCF(148,153) = 1
LCM(148,153) = ( 148 × 153) / 1
LCM(148,153) = 22644 / 1
LCM(148,153) = 22644

Properties of LCM 148 and 153

(i) The LCM of 153 and 148 is associative

LCM of 148 and 153 = LCM of 153 and 148

Related Least Common Multiples of 148

Related Least Common Multiples of 153

Frequently Asked Questions on LCM of 148 and 153

1. What is the LCM of 148 and 153?

Answer: LCM of 148 and 153 is 22644.

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 153?

Answer: Factors of 153 are 1, 3, 9, 17, 51, 153. There are 6 integers that are factors of 153. The greatest factor of 153 is 153.

4. How to Find the LCM of 148 and 153?

Answer:

Least Common Multiple of 148 and 153 = 22644

Step 1: Find the prime factorization of 148

148 = 2 x 2 x 37

Step 2: Find the prime factorization of 153

153 = 3 x 3 x 17

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

LCM = 22644 = 2 x 2 x 3 x 3 x 17 x 37

Step 4: Therefore, the least common multiple of 148 and 153 is 22644.