Least Common Multiple of 8124 and 8131

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8124 and 8131 the smallest integer that is 66056244 that is divisible by both numbers.

Least Common Multiple (LCM) of 8124 and 8131 is 66056244.

LCM(8124,8131) = 66056244

LCM of 8124 and 8131

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

LCM of:
and

Least Common Multiple of 8124 and 8131

LCM of 8124 and 8131 is 66056244

Least common multiple can be found by multiplying the highest exponent prime factors of 8124 and 8131. First we will calculate the prime factors of 8124 and 8131.

Prime Factorization of 8124


2 8124
2 4062
3 2031
677 677
1

Prime factors of 8124 are 2, 3,677. Prime factorization of 8124 in exponential form is:

8124 = 22×31×6771

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8124 and 8131.

LCM(8124,8131) = 22×31×471×1731×6771
LCM(8124,8131) = 66056244

Factors of 8124

List of positive integer factors of 8124 that divides 8124 without a remainder.

1, 2, 3, 4, 6, 12, 677, 1354, 2031, 2708, 4062, 8124

Factors of 8131

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

1, 47, 173, 8131

Least Common Multiple of 8124 and 8131 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8124 and 8131, than apply into the LCM equation.

GCF(8124,8131) = 1
LCM(8124,8131) = ( 8124 × 8131) / 1
LCM(8124,8131) = 66056244 / 1
LCM(8124,8131) = 66056244

Properties of LCM 8124 and 8131

(i) The LCM of 8131 and 8124 is associative

LCM of 8124 and 8131 = LCM of 8131 and 8124

Related Least Common Multiples of 8124

Related Least Common Multiples of 8131

Frequently Asked Questions on LCM of 8124 and 8131

1. What is the LCM of 8124 and 8131?

Answer: LCM of 8124 and 8131 is 66056244.

2. What are the Factors of 8124?

Answer: Factors of 8124 are 1, 2, 3, 4, 6, 12, 677, 1354, 2031, 2708, 4062, 8124. There are 12 integers that are factors of 8124. The greatest factor of 8124 is 8124.

3. 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.

4. How to Find the LCM of 8124 and 8131?

Answer:

Least Common Multiple of 8124 and 8131 = 66056244

Step 1: Find the prime factorization of 8124

8124 = 2 x 2 x 3 x 677

Step 2: Find the prime factorization of 8131

8131 = 47 x 173

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

LCM = 66056244 = 2 x 2 x 3 x 47 x 173 x 677

Step 4: Therefore, the least common multiple of 8124 and 8131 is 66056244.