Least Common Multiple of 8131 and 8135

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 8135 the smallest integer that is 66145685 that is divisible by both numbers.

Least Common Multiple (LCM) of 8131 and 8135 is 66145685.

LCM(8131,8135) = 66145685

LCM of 8131 and 8135

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

LCM of:
and

Least Common Multiple of 8131 and 8135

LCM of 8131 and 8135 is 66145685

Least common multiple can be found by multiplying the highest exponent prime factors of 8131 and 8135. First we will calculate the prime factors of 8131 and 8135.

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 8135


5 8135
1627 1627
1

Prime factors of 8135 are 5,1627. Prime factorization of 8135 in exponential form is:

8135 = 51×16271

Now multiplying the highest exponent prime factors to calculate the LCM of 8131 and 8135.

LCM(8131,8135) = 51×471×1731×16271
LCM(8131,8135) = 66145685

Factors of 8131

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

1, 47, 173, 8131

Factors of 8135

List of positive integer factors of 8135 that divides 8135 without a remainder.

1, 5, 1627, 8135

Least Common Multiple of 8131 and 8135 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 8135, than apply into the LCM equation.

GCF(8131,8135) = 1
LCM(8131,8135) = ( 8131 × 8135) / 1
LCM(8131,8135) = 66145685 / 1
LCM(8131,8135) = 66145685

Properties of LCM 8131 and 8135

(i) The LCM of 8135 and 8131 is associative

LCM of 8131 and 8135 = LCM of 8135 and 8131

Related Least Common Multiples of 8131

Related Least Common Multiples of 8135

Frequently Asked Questions on LCM of 8131 and 8135

1. What is the LCM of 8131 and 8135?

Answer: LCM of 8131 and 8135 is 66145685.

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 8135?

Answer: Factors of 8135 are 1, 5, 1627, 8135. There are 4 integers that are factors of 8135. The greatest factor of 8135 is 8135.

4. How to Find the LCM of 8131 and 8135?

Answer:

Least Common Multiple of 8131 and 8135 = 66145685

Step 1: Find the prime factorization of 8131

8131 = 47 x 173

Step 2: Find the prime factorization of 8135

8135 = 5 x 1627

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

LCM = 66145685 = 5 x 47 x 173 x 1627

Step 4: Therefore, the least common multiple of 8131 and 8135 is 66145685.