Least Common Multiple of 5076 and 5081

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 5081 the smallest integer that is 25791156 that is divisible by both numbers.

Least Common Multiple (LCM) of 5076 and 5081 is 25791156.

LCM(5076,5081) = 25791156

LCM of 5076 and 5081

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

LCM of:
and

Least Common Multiple of 5076 and 5081

LCM of 5076 and 5081 is 25791156

Least common multiple can be found by multiplying the highest exponent prime factors of 5076 and 5081. First we will calculate the prime factors of 5076 and 5081.

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 5081


5081 5081
1

Prime factors of 5081 are 5081. Prime factorization of 5081 in exponential form is:

5081 = 50811

Now multiplying the highest exponent prime factors to calculate the LCM of 5076 and 5081.

LCM(5076,5081) = 22×33×471×50811
LCM(5076,5081) = 25791156

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 5081

List of positive integer factors of 5081 that divides 5081 without a remainder.

1, 5081

Least Common Multiple of 5076 and 5081 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 5081, than apply into the LCM equation.

GCF(5076,5081) = 1
LCM(5076,5081) = ( 5076 × 5081) / 1
LCM(5076,5081) = 25791156 / 1
LCM(5076,5081) = 25791156

Properties of LCM 5076 and 5081

(i) The LCM of 5081 and 5076 is associative

LCM of 5076 and 5081 = LCM of 5081 and 5076

Related Least Common Multiples of 5076

Related Least Common Multiples of 5081

Frequently Asked Questions on LCM of 5076 and 5081

1. What is the LCM of 5076 and 5081?

Answer: LCM of 5076 and 5081 is 25791156.

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 5081?

Answer: Factors of 5081 are 1, 5081. There are 2 integers that are factors of 5081. The greatest factor of 5081 is 5081.

4. How to Find the LCM of 5076 and 5081?

Answer:

Least Common Multiple of 5076 and 5081 = 25791156

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 5081

5081 = 5081

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

LCM = 25791156 = 2 x 2 x 3 x 3 x 3 x 47 x 5081

Step 4: Therefore, the least common multiple of 5076 and 5081 is 25791156.