Least Common Multiple of 5076 and 5084

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5076 and 5084 the smallest integer that is 6451596 that is divisible by both numbers.

Least Common Multiple (LCM) of 5076 and 5084 is 6451596.

LCM(5076,5084) = 6451596

LCM of 5076 and 5084

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

LCM of:
and

Least Common Multiple of 5076 and 5084

LCM of 5076 and 5084 is 6451596

Least common multiple can be found by multiplying the highest exponent prime factors of 5076 and 5084. First we will calculate the prime factors of 5076 and 5084.

Prime Factorization of 5076


2 5076
2 2538
3 1269
3 423
3 141
47 47
1

Prime factors of 5076 are 2, 3,47. Prime factorization of 5076 in exponential form is:

5076 = 22×33×471

Prime Factorization of 5084


2 5084
2 2542
31 1271
41 41
1

Prime factors of 5084 are 2, 31,41. Prime factorization of 5084 in exponential form is:

5084 = 22×311×411

Now multiplying the highest exponent prime factors to calculate the LCM of 5076 and 5084.

LCM(5076,5084) = 22×33×311×411×471
LCM(5076,5084) = 6451596

Factors of 5076

List of positive integer factors of 5076 that divides 5076 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 47, 54, 94, 108, 141, 188, 282, 423, 564, 846, 1269, 1692, 2538, 5076

Factors of 5084

List of positive integer factors of 5084 that divides 5084 without a remainder.

1, 2, 4, 31, 41, 62, 82, 124, 164, 1271, 2542, 5084

Least Common Multiple of 5076 and 5084 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5076 and 5084, than apply into the LCM equation.

GCF(5076,5084) = 4
LCM(5076,5084) = ( 5076 × 5084) / 4
LCM(5076,5084) = 25806384 / 4
LCM(5076,5084) = 6451596

Properties of LCM 5076 and 5084

(i) The LCM of 5084 and 5076 is associative

LCM of 5076 and 5084 = LCM of 5084 and 5076

Related Least Common Multiples of 5076

Related Least Common Multiples of 5084

Frequently Asked Questions on LCM of 5076 and 5084

1. What is the LCM of 5076 and 5084?

Answer: LCM of 5076 and 5084 is 6451596.

2. What are the Factors of 5076?

Answer: Factors of 5076 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 47, 54, 94, 108, 141, 188, 282, 423, 564, 846, 1269, 1692, 2538, 5076. There are 24 integers that are factors of 5076. The greatest factor of 5076 is 5076.

3. What are the Factors of 5084?

Answer: Factors of 5084 are 1, 2, 4, 31, 41, 62, 82, 124, 164, 1271, 2542, 5084. There are 12 integers that are factors of 5084. The greatest factor of 5084 is 5084.

4. How to Find the LCM of 5076 and 5084?

Answer:

Least Common Multiple of 5076 and 5084 = 6451596

Step 1: Find the prime factorization of 5076

5076 = 2 x 2 x 3 x 3 x 3 x 47

Step 2: Find the prime factorization of 5084

5084 = 2 x 2 x 31 x 41

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

LCM = 6451596 = 2 x 2 x 3 x 3 x 3 x 31 x 41 x 47

Step 4: Therefore, the least common multiple of 5076 and 5084 is 6451596.