Least Common Multiple of 36126 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 36126 and 36130 the smallest integer that is 652616190 that is divisible by both numbers.

Least Common Multiple (LCM) of 36126 and 36130 is 652616190.

LCM(36126,36130) = 652616190

LCM of 36126 and 36130

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

LCM of:
and

Least Common Multiple of 36126 and 36130

LCM of 36126 and 36130 is 652616190

Least common multiple can be found by multiplying the highest exponent prime factors of 36126 and 36130. First we will calculate the prime factors of 36126 and 36130.

Prime Factorization of 36126


2 36126
3 18063
3 6021
3 2007
3 669
223 223
1

Prime factors of 36126 are 2, 3,223. Prime factorization of 36126 in exponential form is:

36126 = 21×34×2231

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 36126 and 36130.

LCM(36126,36130) = 21×34×51×2231×36131
LCM(36126,36130) = 652616190

Factors of 36126

List of positive integer factors of 36126 that divides 36126 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 223, 446, 669, 1338, 2007, 4014, 6021, 12042, 18063, 36126

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 36126 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 36126 and 36130, than apply into the LCM equation.

GCF(36126,36130) = 2
LCM(36126,36130) = ( 36126 × 36130) / 2
LCM(36126,36130) = 1305232380 / 2
LCM(36126,36130) = 652616190

Properties of LCM 36126 and 36130

(i) The LCM of 36130 and 36126 is associative

LCM of 36126 and 36130 = LCM of 36130 and 36126

Related Least Common Multiples of 36126

Related Least Common Multiples of 36130

Frequently Asked Questions on LCM of 36126 and 36130

1. What is the LCM of 36126 and 36130?

Answer: LCM of 36126 and 36130 is 652616190.

2. What are the Factors of 36126?

Answer: Factors of 36126 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 223, 446, 669, 1338, 2007, 4014, 6021, 12042, 18063, 36126. There are 20 integers that are factors of 36126. The greatest factor of 36126 is 36126.

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 36126 and 36130?

Answer:

Least Common Multiple of 36126 and 36130 = 652616190

Step 1: Find the prime factorization of 36126

36126 = 2 x 3 x 3 x 3 x 3 x 223

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 = 652616190 = 2 x 3 x 3 x 3 x 3 x 5 x 223 x 3613

Step 4: Therefore, the least common multiple of 36126 and 36130 is 652616190.