Least Common Multiple of 36124 and 36130

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 36124 and 36130 the smallest integer that is 652580060 that is divisible by both numbers.

Least Common Multiple (LCM) of 36124 and 36130 is 652580060.

LCM(36124,36130) = 652580060

LCM of 36124 and 36130

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

LCM of:
and

Least Common Multiple of 36124 and 36130

LCM of 36124 and 36130 is 652580060

Least common multiple can be found by multiplying the highest exponent prime factors of 36124 and 36130. First we will calculate the prime factors of 36124 and 36130.

Prime Factorization of 36124


2 36124
2 18062
11 9031
821 821
1

Prime factors of 36124 are 2, 11,821. Prime factorization of 36124 in exponential form is:

36124 = 22×111×8211

Prime Factorization of 36130


2 36130
5 18065
3613 3613
1

Prime factors of 36130 are 2, 5,3613. Prime factorization of 36130 in exponential form is:

36130 = 21×51×36131

Now multiplying the highest exponent prime factors to calculate the LCM of 36124 and 36130.

LCM(36124,36130) = 22×51×111×8211×36131
LCM(36124,36130) = 652580060

Factors of 36124

List of positive integer factors of 36124 that divides 36124 without a remainder.

1, 2, 4, 11, 22, 44, 821, 1642, 3284, 9031, 18062, 36124

Factors of 36130

List of positive integer factors of 36130 that divides 36130 without a remainder.

1, 2, 5, 10, 3613, 7226, 18065, 36130

Least Common Multiple of 36124 and 36130 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36124 and 36130, than apply into the LCM equation.

GCF(36124,36130) = 2
LCM(36124,36130) = ( 36124 × 36130) / 2
LCM(36124,36130) = 1305160120 / 2
LCM(36124,36130) = 652580060

Properties of LCM 36124 and 36130

(i) The LCM of 36130 and 36124 is associative

LCM of 36124 and 36130 = LCM of 36130 and 36124

Related Least Common Multiples of 36124

Related Least Common Multiples of 36130

Frequently Asked Questions on LCM of 36124 and 36130

1. What is the LCM of 36124 and 36130?

Answer: LCM of 36124 and 36130 is 652580060.

2. What are the Factors of 36124?

Answer: Factors of 36124 are 1, 2, 4, 11, 22, 44, 821, 1642, 3284, 9031, 18062, 36124. There are 12 integers that are factors of 36124. The greatest factor of 36124 is 36124.

3. What are the Factors of 36130?

Answer: Factors of 36130 are 1, 2, 5, 10, 3613, 7226, 18065, 36130. There are 8 integers that are factors of 36130. The greatest factor of 36130 is 36130.

4. How to Find the LCM of 36124 and 36130?

Answer:

Least Common Multiple of 36124 and 36130 = 652580060

Step 1: Find the prime factorization of 36124

36124 = 2 x 2 x 11 x 821

Step 2: Find the prime factorization of 36130

36130 = 2 x 5 x 3613

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

LCM = 652580060 = 2 x 2 x 5 x 11 x 821 x 3613

Step 4: Therefore, the least common multiple of 36124 and 36130 is 652580060.