Least Common Multiple of 152 and 158

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 158 the smallest integer that is 12008 that is divisible by both numbers.

Least Common Multiple (LCM) of 152 and 158 is 12008.

LCM(152,158) = 12008

LCM of 152 and 158

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

LCM of:
and

Least Common Multiple of 152 and 158

LCM of 152 and 158 is 12008

Least common multiple can be found by multiplying the highest exponent prime factors of 152 and 158. First we will calculate the prime factors of 152 and 158.

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 158


2 158
79 79
1

Prime factors of 158 are 2,79. Prime factorization of 158 in exponential form is:

158 = 21×791

Now multiplying the highest exponent prime factors to calculate the LCM of 152 and 158.

LCM(152,158) = 23×191×791
LCM(152,158) = 12008

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 158

List of positive integer factors of 158 that divides 158 without a remainder.

1, 2, 79, 158

Least Common Multiple of 152 and 158 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 158, than apply into the LCM equation.

GCF(152,158) = 2
LCM(152,158) = ( 152 × 158) / 2
LCM(152,158) = 24016 / 2
LCM(152,158) = 12008

Properties of LCM 152 and 158

(i) The LCM of 158 and 152 is associative

LCM of 152 and 158 = LCM of 158 and 152

Related Least Common Multiples of 152

Related Least Common Multiples of 158

Frequently Asked Questions on LCM of 152 and 158

1. What is the LCM of 152 and 158?

Answer: LCM of 152 and 158 is 12008.

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 158?

Answer: Factors of 158 are 1, 2, 79, 158. There are 4 integers that are factors of 158. The greatest factor of 158 is 158.

4. How to Find the LCM of 152 and 158?

Answer:

Least Common Multiple of 152 and 158 = 12008

Step 1: Find the prime factorization of 152

152 = 2 x 2 x 2 x 19

Step 2: Find the prime factorization of 158

158 = 2 x 79

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

LCM = 12008 = 2 x 2 x 2 x 19 x 79

Step 4: Therefore, the least common multiple of 152 and 158 is 12008.