Least Common Multiple of 5124 and 5132

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5124 and 5132 the smallest integer that is 6574092 that is divisible by both numbers.

Least Common Multiple (LCM) of 5124 and 5132 is 6574092.

LCM(5124,5132) = 6574092

LCM of 5124 and 5132

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

LCM of:
and

Least Common Multiple of 5124 and 5132

LCM of 5124 and 5132 is 6574092

Least common multiple can be found by multiplying the highest exponent prime factors of 5124 and 5132. First we will calculate the prime factors of 5124 and 5132.

Prime Factorization of 5124


2 5124
2 2562
3 1281
7 427
61 61
1

Prime factors of 5124 are 2, 3, 7,61. Prime factorization of 5124 in exponential form is:

5124 = 22×31×71×611

Prime Factorization of 5132


2 5132
2 2566
1283 1283
1

Prime factors of 5132 are 2,1283. Prime factorization of 5132 in exponential form is:

5132 = 22×12831

Now multiplying the highest exponent prime factors to calculate the LCM of 5124 and 5132.

LCM(5124,5132) = 22×31×71×611×12831
LCM(5124,5132) = 6574092

Factors of 5124

List of positive integer factors of 5124 that divides 5124 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 61, 84, 122, 183, 244, 366, 427, 732, 854, 1281, 1708, 2562, 5124

Factors of 5132

List of positive integer factors of 5132 that divides 5132 without a remainder.

1, 2, 4, 1283, 2566, 5132

Least Common Multiple of 5124 and 5132 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5124 and 5132, than apply into the LCM equation.

GCF(5124,5132) = 4
LCM(5124,5132) = ( 5124 × 5132) / 4
LCM(5124,5132) = 26296368 / 4
LCM(5124,5132) = 6574092

Properties of LCM 5124 and 5132

(i) The LCM of 5132 and 5124 is associative

LCM of 5124 and 5132 = LCM of 5132 and 5124

Related Least Common Multiples of 5124

Related Least Common Multiples of 5132

Frequently Asked Questions on LCM of 5124 and 5132

1. What is the LCM of 5124 and 5132?

Answer: LCM of 5124 and 5132 is 6574092.

2. What are the Factors of 5124?

Answer: Factors of 5124 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 61, 84, 122, 183, 244, 366, 427, 732, 854, 1281, 1708, 2562, 5124. There are 24 integers that are factors of 5124. The greatest factor of 5124 is 5124.

3. What are the Factors of 5132?

Answer: Factors of 5132 are 1, 2, 4, 1283, 2566, 5132. There are 6 integers that are factors of 5132. The greatest factor of 5132 is 5132.

4. How to Find the LCM of 5124 and 5132?

Answer:

Least Common Multiple of 5124 and 5132 = 6574092

Step 1: Find the prime factorization of 5124

5124 = 2 x 2 x 3 x 7 x 61

Step 2: Find the prime factorization of 5132

5132 = 2 x 2 x 1283

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

LCM = 6574092 = 2 x 2 x 3 x 7 x 61 x 1283

Step 4: Therefore, the least common multiple of 5124 and 5132 is 6574092.