Least Common Multiple of 156 and 163

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 156 and 163 the smallest integer that is 25428 that is divisible by both numbers.

Least Common Multiple (LCM) of 156 and 163 is 25428.

LCM(156,163) = 25428

LCM of 156 and 163

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

LCM of:
and

Least Common Multiple of 156 and 163

LCM of 156 and 163 is 25428

Least common multiple can be found by multiplying the highest exponent prime factors of 156 and 163. First we will calculate the prime factors of 156 and 163.

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

Prime Factorization of 163


163 163
1

Prime factors of 163 are 163. Prime factorization of 163 in exponential form is:

163 = 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 156 and 163.

LCM(156,163) = 22×31×131×1631
LCM(156,163) = 25428

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

Factors of 163

List of positive integer factors of 163 that divides 163 without a remainder.

1, 163

Least Common Multiple of 156 and 163 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 156 and 163, than apply into the LCM equation.

GCF(156,163) = 1
LCM(156,163) = ( 156 × 163) / 1
LCM(156,163) = 25428 / 1
LCM(156,163) = 25428

Properties of LCM 156 and 163

(i) The LCM of 163 and 156 is associative

LCM of 156 and 163 = LCM of 163 and 156

Related Least Common Multiples of 156

Related Least Common Multiples of 163

Frequently Asked Questions on LCM of 156 and 163

1. What is the LCM of 156 and 163?

Answer: LCM of 156 and 163 is 25428.

2. 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.

3. What are the Factors of 163?

Answer: Factors of 163 are 1, 163. There are 2 integers that are factors of 163. The greatest factor of 163 is 163.

4. How to Find the LCM of 156 and 163?

Answer:

Least Common Multiple of 156 and 163 = 25428

Step 1: Find the prime factorization of 156

156 = 2 x 2 x 3 x 13

Step 2: Find the prime factorization of 163

163 = 163

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

LCM = 25428 = 2 x 2 x 3 x 13 x 163

Step 4: Therefore, the least common multiple of 156 and 163 is 25428.