Least Common Multiple of 5116 and 5124

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5116 and 5124 the smallest integer that is 6553596 that is divisible by both numbers.

Least Common Multiple (LCM) of 5116 and 5124 is 6553596.

LCM(5116,5124) = 6553596

LCM of 5116 and 5124

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

LCM of:
and

Least Common Multiple of 5116 and 5124

LCM of 5116 and 5124 is 6553596

Least common multiple can be found by multiplying the highest exponent prime factors of 5116 and 5124. First we will calculate the prime factors of 5116 and 5124.

Prime Factorization of 5116


2 5116
2 2558
1279 1279
1

Prime factors of 5116 are 2,1279. Prime factorization of 5116 in exponential form is:

5116 = 22×12791

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5116 and 5124.

LCM(5116,5124) = 22×31×71×611×12791
LCM(5116,5124) = 6553596

Factors of 5116

List of positive integer factors of 5116 that divides 5116 without a remainder.

1, 2, 4, 1279, 2558, 5116

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

Least Common Multiple of 5116 and 5124 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5116 and 5124, than apply into the LCM equation.

GCF(5116,5124) = 4
LCM(5116,5124) = ( 5116 × 5124) / 4
LCM(5116,5124) = 26214384 / 4
LCM(5116,5124) = 6553596

Properties of LCM 5116 and 5124

(i) The LCM of 5124 and 5116 is associative

LCM of 5116 and 5124 = LCM of 5124 and 5116

Related Least Common Multiples of 5116

Related Least Common Multiples of 5124

Frequently Asked Questions on LCM of 5116 and 5124

1. What is the LCM of 5116 and 5124?

Answer: LCM of 5116 and 5124 is 6553596.

2. What are the Factors of 5116?

Answer: Factors of 5116 are 1, 2, 4, 1279, 2558, 5116. There are 6 integers that are factors of 5116. The greatest factor of 5116 is 5116.

3. 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.

4. How to Find the LCM of 5116 and 5124?

Answer:

Least Common Multiple of 5116 and 5124 = 6553596

Step 1: Find the prime factorization of 5116

5116 = 2 x 2 x 1279

Step 2: Find the prime factorization of 5124

5124 = 2 x 2 x 3 x 7 x 61

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

LCM = 6553596 = 2 x 2 x 3 x 7 x 61 x 1279

Step 4: Therefore, the least common multiple of 5116 and 5124 is 6553596.