Least Common Multiple of 5124 and 5128

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 5128 the smallest integer that is 6568968 that is divisible by both numbers.

Least Common Multiple (LCM) of 5124 and 5128 is 6568968.

LCM(5124,5128) = 6568968

LCM of 5124 and 5128

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

LCM of:
and

Least Common Multiple of 5124 and 5128

LCM of 5124 and 5128 is 6568968

Least common multiple can be found by multiplying the highest exponent prime factors of 5124 and 5128. First we will calculate the prime factors of 5124 and 5128.

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 5128


2 5128
2 2564
2 1282
641 641
1

Prime factors of 5128 are 2,641. Prime factorization of 5128 in exponential form is:

5128 = 23×6411

Now multiplying the highest exponent prime factors to calculate the LCM of 5124 and 5128.

LCM(5124,5128) = 23×31×71×611×6411
LCM(5124,5128) = 6568968

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 5128

List of positive integer factors of 5128 that divides 5128 without a remainder.

1, 2, 4, 8, 641, 1282, 2564, 5128

Least Common Multiple of 5124 and 5128 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 5128, than apply into the LCM equation.

GCF(5124,5128) = 4
LCM(5124,5128) = ( 5124 × 5128) / 4
LCM(5124,5128) = 26275872 / 4
LCM(5124,5128) = 6568968

Properties of LCM 5124 and 5128

(i) The LCM of 5128 and 5124 is associative

LCM of 5124 and 5128 = LCM of 5128 and 5124

Related Least Common Multiples of 5124

Related Least Common Multiples of 5128

Frequently Asked Questions on LCM of 5124 and 5128

1. What is the LCM of 5124 and 5128?

Answer: LCM of 5124 and 5128 is 6568968.

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 5128?

Answer: Factors of 5128 are 1, 2, 4, 8, 641, 1282, 2564, 5128. There are 8 integers that are factors of 5128. The greatest factor of 5128 is 5128.

4. How to Find the LCM of 5124 and 5128?

Answer:

Least Common Multiple of 5124 and 5128 = 6568968

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 5128

5128 = 2 x 2 x 2 x 641

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

LCM = 6568968 = 2 x 2 x 2 x 3 x 7 x 61 x 641

Step 4: Therefore, the least common multiple of 5124 and 5128 is 6568968.