Least Common Multiple of 152 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 152 and 153 the smallest integer that is 23256 that is divisible by both numbers.

Least Common Multiple (LCM) of 152 and 153 is 23256.

LCM(152,153) = 23256

LCM of 152 and 153

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

LCM of:
and

Least Common Multiple of 152 and 153

LCM of 152 and 153 is 23256

Least common multiple can be found by multiplying the highest exponent prime factors of 152 and 153. First we will calculate the prime factors of 152 and 153.

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

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 152 and 153.

LCM(152,153) = 23×32×171×191
LCM(152,153) = 23256

Factors of 152

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

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

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 152 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 152 and 153, than apply into the LCM equation.

GCF(152,153) = 1
LCM(152,153) = ( 152 × 153) / 1
LCM(152,153) = 23256 / 1
LCM(152,153) = 23256

Properties of LCM 152 and 153

(i) The LCM of 153 and 152 is associative

LCM of 152 and 153 = LCM of 153 and 152

Related Least Common Multiples of 152

Related Least Common Multiples of 153

Frequently Asked Questions on LCM of 152 and 153

1. What is the LCM of 152 and 153?

Answer: LCM of 152 and 153 is 23256.

2. 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.

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 152 and 153?

Answer:

Least Common Multiple of 152 and 153 = 23256

Step 1: Find the prime factorization of 152

152 = 2 x 2 x 2 x 19

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 = 23256 = 2 x 2 x 2 x 3 x 3 x 17 x 19

Step 4: Therefore, the least common multiple of 152 and 153 is 23256.