Least Common Multiple of 155 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 155 and 156 the smallest integer that is 24180 that is divisible by both numbers.

Least Common Multiple (LCM) of 155 and 156 is 24180.

LCM(155,156) = 24180

LCM of 155 and 156

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

LCM of:
and

Least Common Multiple of 155 and 156

LCM of 155 and 156 is 24180

Least common multiple can be found by multiplying the highest exponent prime factors of 155 and 156. First we will calculate the prime factors of 155 and 156.

Prime Factorization of 155


5 155
31 31
1

Prime factors of 155 are 5,31. Prime factorization of 155 in exponential form is:

155 = 51×311

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 155 and 156.

LCM(155,156) = 22×31×51×131×311
LCM(155,156) = 24180

Factors of 155

List of positive integer factors of 155 that divides 155 without a remainder.

1, 5, 31, 155

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 155 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 155 and 156, than apply into the LCM equation.

GCF(155,156) = 1
LCM(155,156) = ( 155 × 156) / 1
LCM(155,156) = 24180 / 1
LCM(155,156) = 24180

Properties of LCM 155 and 156

(i) The LCM of 156 and 155 is associative

LCM of 155 and 156 = LCM of 156 and 155

Related Least Common Multiples of 155

Related Least Common Multiples of 156

Frequently Asked Questions on LCM of 155 and 156

1. What is the LCM of 155 and 156?

Answer: LCM of 155 and 156 is 24180.

2. What are the Factors of 155?

Answer: Factors of 155 are 1, 5, 31, 155. There are 4 integers that are factors of 155. The greatest factor of 155 is 155.

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 155 and 156?

Answer:

Least Common Multiple of 155 and 156 = 24180

Step 1: Find the prime factorization of 155

155 = 5 x 31

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 = 24180 = 2 x 2 x 3 x 5 x 13 x 31

Step 4: Therefore, the least common multiple of 155 and 156 is 24180.