Least Common Multiple of 151 and 156

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 156 the smallest integer that is 23556 that is divisible by both numbers.

Least Common Multiple (LCM) of 151 and 156 is 23556.

LCM(151,156) = 23556

LCM of 151 and 156

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

LCM of:
and

Least Common Multiple of 151 and 156

LCM of 151 and 156 is 23556

Least common multiple can be found by multiplying the highest exponent prime factors of 151 and 156. First we will calculate the prime factors of 151 and 156.

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 156


2 156
2 78
3 39
13 13
1

Prime factors of 156 are 2, 3,13. Prime factorization of 156 in exponential form is:

156 = 22×31×131

Now multiplying the highest exponent prime factors to calculate the LCM of 151 and 156.

LCM(151,156) = 22×31×131×1511
LCM(151,156) = 23556

Factors of 151

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

1, 151

Factors of 156

List of positive integer factors of 156 that divides 156 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Least Common Multiple of 151 and 156 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 156, than apply into the LCM equation.

GCF(151,156) = 1
LCM(151,156) = ( 151 × 156) / 1
LCM(151,156) = 23556 / 1
LCM(151,156) = 23556

Properties of LCM 151 and 156

(i) The LCM of 156 and 151 is associative

LCM of 151 and 156 = LCM of 156 and 151

Related Least Common Multiples of 151

Related Least Common Multiples of 156

Frequently Asked Questions on LCM of 151 and 156

1. What is the LCM of 151 and 156?

Answer: LCM of 151 and 156 is 23556.

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 156?

Answer: Factors of 156 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156. There are 12 integers that are factors of 156. The greatest factor of 156 is 156.

4. How to Find the LCM of 151 and 156?

Answer:

Least Common Multiple of 151 and 156 = 23556

Step 1: Find the prime factorization of 151

151 = 151

Step 2: Find the prime factorization of 156

156 = 2 x 2 x 3 x 13

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

LCM = 23556 = 2 x 2 x 3 x 13 x 151

Step 4: Therefore, the least common multiple of 151 and 156 is 23556.