Least Common Multiple of 157 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 157 and 163 the smallest integer that is 25591 that is divisible by both numbers.

Least Common Multiple (LCM) of 157 and 163 is 25591.

LCM(157,163) = 25591

LCM of 157 and 163

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

LCM of:
and

Least Common Multiple of 157 and 163

LCM of 157 and 163 is 25591

Least common multiple can be found by multiplying the highest exponent prime factors of 157 and 163. First we will calculate the prime factors of 157 and 163.

Prime Factorization of 157


157 157
1

Prime factors of 157 are 157. Prime factorization of 157 in exponential form is:

157 = 1571

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 157 and 163.

LCM(157,163) = 1571×1631
LCM(157,163) = 25591

Factors of 157

List of positive integer factors of 157 that divides 157 without a remainder.

1, 157

Factors of 163

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

1, 163

Least Common Multiple of 157 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 157 and 163, than apply into the LCM equation.

GCF(157,163) = 1
LCM(157,163) = ( 157 × 163) / 1
LCM(157,163) = 25591 / 1
LCM(157,163) = 25591

Properties of LCM 157 and 163

(i) The LCM of 163 and 157 is associative

LCM of 157 and 163 = LCM of 163 and 157

Related Least Common Multiples of 157

Related Least Common Multiples of 163

Frequently Asked Questions on LCM of 157 and 163

1. What is the LCM of 157 and 163?

Answer: LCM of 157 and 163 is 25591.

2. What are the Factors of 157?

Answer: Factors of 157 are 1, 157. There are 2 integers that are factors of 157. The greatest factor of 157 is 157.

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 157 and 163?

Answer:

Least Common Multiple of 157 and 163 = 25591

Step 1: Find the prime factorization of 157

157 = 157

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 = 25591 = 157 x 163

Step 4: Therefore, the least common multiple of 157 and 163 is 25591.