Least Common Multiple of 8131 and 8137

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8131 and 8137 the smallest integer that is 66161947 that is divisible by both numbers.

Least Common Multiple (LCM) of 8131 and 8137 is 66161947.

LCM(8131,8137) = 66161947

LCM of 8131 and 8137

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

LCM of:
and

Least Common Multiple of 8131 and 8137

LCM of 8131 and 8137 is 66161947

Least common multiple can be found by multiplying the highest exponent prime factors of 8131 and 8137. First we will calculate the prime factors of 8131 and 8137.

Prime Factorization of 8131


47 8131
173 173
1

Prime factors of 8131 are 47,173. Prime factorization of 8131 in exponential form is:

8131 = 471×1731

Prime Factorization of 8137


79 8137
103 103
1

Prime factors of 8137 are 79,103. Prime factorization of 8137 in exponential form is:

8137 = 791×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 8131 and 8137.

LCM(8131,8137) = 471×791×1031×1731
LCM(8131,8137) = 66161947

Factors of 8131

List of positive integer factors of 8131 that divides 8131 without a remainder.

1, 47, 173, 8131

Factors of 8137

List of positive integer factors of 8137 that divides 8137 without a remainder.

1, 79, 103, 8137

Least Common Multiple of 8131 and 8137 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8131 and 8137, than apply into the LCM equation.

GCF(8131,8137) = 1
LCM(8131,8137) = ( 8131 × 8137) / 1
LCM(8131,8137) = 66161947 / 1
LCM(8131,8137) = 66161947

Properties of LCM 8131 and 8137

(i) The LCM of 8137 and 8131 is associative

LCM of 8131 and 8137 = LCM of 8137 and 8131

Related Least Common Multiples of 8131

Related Least Common Multiples of 8137

Frequently Asked Questions on LCM of 8131 and 8137

1. What is the LCM of 8131 and 8137?

Answer: LCM of 8131 and 8137 is 66161947.

2. What are the Factors of 8131?

Answer: Factors of 8131 are 1, 47, 173, 8131. There are 4 integers that are factors of 8131. The greatest factor of 8131 is 8131.

3. What are the Factors of 8137?

Answer: Factors of 8137 are 1, 79, 103, 8137. There are 4 integers that are factors of 8137. The greatest factor of 8137 is 8137.

4. How to Find the LCM of 8131 and 8137?

Answer:

Least Common Multiple of 8131 and 8137 = 66161947

Step 1: Find the prime factorization of 8131

8131 = 47 x 173

Step 2: Find the prime factorization of 8137

8137 = 79 x 103

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

LCM = 66161947 = 47 x 79 x 103 x 173

Step 4: Therefore, the least common multiple of 8131 and 8137 is 66161947.