Least Common Multiple of 5112 and 5116

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5112 and 5116 the smallest integer that is 6538248 that is divisible by both numbers.

Least Common Multiple (LCM) of 5112 and 5116 is 6538248.

LCM(5112,5116) = 6538248

LCM of 5112 and 5116

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

LCM of:
and

Least Common Multiple of 5112 and 5116

LCM of 5112 and 5116 is 6538248

Least common multiple can be found by multiplying the highest exponent prime factors of 5112 and 5116. First we will calculate the prime factors of 5112 and 5116.

Prime Factorization of 5112


2 5112
2 2556
2 1278
3 639
3 213
71 71
1

Prime factors of 5112 are 2, 3,71. Prime factorization of 5112 in exponential form is:

5112 = 23×32×711

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5112 and 5116.

LCM(5112,5116) = 23×32×711×12791
LCM(5112,5116) = 6538248

Factors of 5112

List of positive integer factors of 5112 that divides 5112 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 71, 72, 142, 213, 284, 426, 568, 639, 852, 1278, 1704, 2556, 5112

Factors of 5116

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

1, 2, 4, 1279, 2558, 5116

Least Common Multiple of 5112 and 5116 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5112 and 5116, than apply into the LCM equation.

GCF(5112,5116) = 4
LCM(5112,5116) = ( 5112 × 5116) / 4
LCM(5112,5116) = 26152992 / 4
LCM(5112,5116) = 6538248

Properties of LCM 5112 and 5116

(i) The LCM of 5116 and 5112 is associative

LCM of 5112 and 5116 = LCM of 5116 and 5112

Related Least Common Multiples of 5112

Related Least Common Multiples of 5116

Frequently Asked Questions on LCM of 5112 and 5116

1. What is the LCM of 5112 and 5116?

Answer: LCM of 5112 and 5116 is 6538248.

2. What are the Factors of 5112?

Answer: Factors of 5112 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 71, 72, 142, 213, 284, 426, 568, 639, 852, 1278, 1704, 2556, 5112. There are 24 integers that are factors of 5112. The greatest factor of 5112 is 5112.

3. 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.

4. How to Find the LCM of 5112 and 5116?

Answer:

Least Common Multiple of 5112 and 5116 = 6538248

Step 1: Find the prime factorization of 5112

5112 = 2 x 2 x 2 x 3 x 3 x 71

Step 2: Find the prime factorization of 5116

5116 = 2 x 2 x 1279

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

LCM = 6538248 = 2 x 2 x 2 x 3 x 3 x 71 x 1279

Step 4: Therefore, the least common multiple of 5112 and 5116 is 6538248.