Least Common Multiple of 151 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 151 and 158 the smallest integer that is 23858 that is divisible by both numbers.

Least Common Multiple (LCM) of 151 and 158 is 23858.

LCM(151,158) = 23858

LCM of 151 and 158

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

LCM of:
and

Least Common Multiple of 151 and 158

LCM of 151 and 158 is 23858

Least common multiple can be found by multiplying the highest exponent prime factors of 151 and 158. First we will calculate the prime factors of 151 and 158.

Prime Factorization of 151


151 151
1

Prime factors of 151 are 151. Prime factorization of 151 in exponential form is:

151 = 1511

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 151 and 158.

LCM(151,158) = 21×791×1511
LCM(151,158) = 23858

Factors of 151

List of positive integer factors of 151 that divides 151 without a remainder.

1, 151

Factors of 158

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

1, 2, 79, 158

Least Common Multiple of 151 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 151 and 158, than apply into the LCM equation.

GCF(151,158) = 1
LCM(151,158) = ( 151 × 158) / 1
LCM(151,158) = 23858 / 1
LCM(151,158) = 23858

Properties of LCM 151 and 158

(i) The LCM of 158 and 151 is associative

LCM of 151 and 158 = LCM of 158 and 151

Related Least Common Multiples of 151

Related Least Common Multiples of 158

Frequently Asked Questions on LCM of 151 and 158

1. What is the LCM of 151 and 158?

Answer: LCM of 151 and 158 is 23858.

2. What are the Factors of 151?

Answer: Factors of 151 are 1, 151. There are 2 integers that are factors of 151. The greatest factor of 151 is 151.

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 151 and 158?

Answer:

Least Common Multiple of 151 and 158 = 23858

Step 1: Find the prime factorization of 151

151 = 151

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 = 23858 = 2 x 79 x 151

Step 4: Therefore, the least common multiple of 151 and 158 is 23858.