Least Common Multiple of 152 and 159

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 159 the smallest integer that is 24168 that is divisible by both numbers.

Least Common Multiple (LCM) of 152 and 159 is 24168.

LCM(152,159) = 24168

LCM of 152 and 159

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

LCM of:
and

Least Common Multiple of 152 and 159

LCM of 152 and 159 is 24168

Least common multiple can be found by multiplying the highest exponent prime factors of 152 and 159. First we will calculate the prime factors of 152 and 159.

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 159


3 159
53 53
1

Prime factors of 159 are 3,53. Prime factorization of 159 in exponential form is:

159 = 31×531

Now multiplying the highest exponent prime factors to calculate the LCM of 152 and 159.

LCM(152,159) = 23×31×191×531
LCM(152,159) = 24168

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 159

List of positive integer factors of 159 that divides 159 without a remainder.

1, 3, 53, 159

Least Common Multiple of 152 and 159 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 159, than apply into the LCM equation.

GCF(152,159) = 1
LCM(152,159) = ( 152 × 159) / 1
LCM(152,159) = 24168 / 1
LCM(152,159) = 24168

Properties of LCM 152 and 159

(i) The LCM of 159 and 152 is associative

LCM of 152 and 159 = LCM of 159 and 152

Related Least Common Multiples of 152

Related Least Common Multiples of 159

Frequently Asked Questions on LCM of 152 and 159

1. What is the LCM of 152 and 159?

Answer: LCM of 152 and 159 is 24168.

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 159?

Answer: Factors of 159 are 1, 3, 53, 159. There are 4 integers that are factors of 159. The greatest factor of 159 is 159.

4. How to Find the LCM of 152 and 159?

Answer:

Least Common Multiple of 152 and 159 = 24168

Step 1: Find the prime factorization of 152

152 = 2 x 2 x 2 x 19

Step 2: Find the prime factorization of 159

159 = 3 x 53

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

LCM = 24168 = 2 x 2 x 2 x 3 x 19 x 53

Step 4: Therefore, the least common multiple of 152 and 159 is 24168.