Least Common Multiple of 8124 and 8132

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 8132 the smallest integer that is 16516092 that is divisible by both numbers.

Least Common Multiple (LCM) of 8124 and 8132 is 16516092.

LCM(8124,8132) = 16516092

LCM of 8124 and 8132

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

LCM of:
and

Least Common Multiple of 8124 and 8132

LCM of 8124 and 8132 is 16516092

Least common multiple can be found by multiplying the highest exponent prime factors of 8124 and 8132. First we will calculate the prime factors of 8124 and 8132.

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 8132


2 8132
2 4066
19 2033
107 107
1

Prime factors of 8132 are 2, 19,107. Prime factorization of 8132 in exponential form is:

8132 = 22×191×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 8124 and 8132.

LCM(8124,8132) = 22×31×191×1071×6771
LCM(8124,8132) = 16516092

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 8132

List of positive integer factors of 8132 that divides 8132 without a remainder.

1, 2, 4, 19, 38, 76, 107, 214, 428, 2033, 4066, 8132

Least Common Multiple of 8124 and 8132 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 8132, than apply into the LCM equation.

GCF(8124,8132) = 4
LCM(8124,8132) = ( 8124 × 8132) / 4
LCM(8124,8132) = 66064368 / 4
LCM(8124,8132) = 16516092

Properties of LCM 8124 and 8132

(i) The LCM of 8132 and 8124 is associative

LCM of 8124 and 8132 = LCM of 8132 and 8124

Related Least Common Multiples of 8124

Related Least Common Multiples of 8132

Frequently Asked Questions on LCM of 8124 and 8132

1. What is the LCM of 8124 and 8132?

Answer: LCM of 8124 and 8132 is 16516092.

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 8132?

Answer: Factors of 8132 are 1, 2, 4, 19, 38, 76, 107, 214, 428, 2033, 4066, 8132. There are 12 integers that are factors of 8132. The greatest factor of 8132 is 8132.

4. How to Find the LCM of 8124 and 8132?

Answer:

Least Common Multiple of 8124 and 8132 = 16516092

Step 1: Find the prime factorization of 8124

8124 = 2 x 2 x 3 x 677

Step 2: Find the prime factorization of 8132

8132 = 2 x 2 x 19 x 107

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

LCM = 16516092 = 2 x 2 x 3 x 19 x 107 x 677

Step 4: Therefore, the least common multiple of 8124 and 8132 is 16516092.