Least Common Multiple of 36131 and 36136

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 36131 and 36136 the smallest integer that is 1305629816 that is divisible by both numbers.

Least Common Multiple (LCM) of 36131 and 36136 is 1305629816.

LCM(36131,36136) = 1305629816

LCM of 36131 and 36136

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

LCM of:
and

Least Common Multiple of 36131 and 36136

LCM of 36131 and 36136 is 1305629816

Least common multiple can be found by multiplying the highest exponent prime factors of 36131 and 36136. First we will calculate the prime factors of 36131 and 36136.

Prime Factorization of 36131


36131 36131
1

Prime factors of 36131 are 36131. Prime factorization of 36131 in exponential form is:

36131 = 361311

Prime Factorization of 36136


2 36136
2 18068
2 9034
4517 4517
1

Prime factors of 36136 are 2,4517. Prime factorization of 36136 in exponential form is:

36136 = 23×45171

Now multiplying the highest exponent prime factors to calculate the LCM of 36131 and 36136.

LCM(36131,36136) = 23×45171×361311
LCM(36131,36136) = 1305629816

Factors of 36131

List of positive integer factors of 36131 that divides 36131 without a remainder.

1, 36131

Factors of 36136

List of positive integer factors of 36136 that divides 36136 without a remainder.

1, 2, 4, 8, 4517, 9034, 18068, 36136

Least Common Multiple of 36131 and 36136 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36131 and 36136, than apply into the LCM equation.

GCF(36131,36136) = 1
LCM(36131,36136) = ( 36131 × 36136) / 1
LCM(36131,36136) = 1305629816 / 1
LCM(36131,36136) = 1305629816

Properties of LCM 36131 and 36136

(i) The LCM of 36136 and 36131 is associative

LCM of 36131 and 36136 = LCM of 36136 and 36131

Related Least Common Multiples of 36131

Related Least Common Multiples of 36136

Frequently Asked Questions on LCM of 36131 and 36136

1. What is the LCM of 36131 and 36136?

Answer: LCM of 36131 and 36136 is 1305629816.

2. What are the Factors of 36131?

Answer: Factors of 36131 are 1, 36131. There are 2 integers that are factors of 36131. The greatest factor of 36131 is 36131.

3. What are the Factors of 36136?

Answer: Factors of 36136 are 1, 2, 4, 8, 4517, 9034, 18068, 36136. There are 8 integers that are factors of 36136. The greatest factor of 36136 is 36136.

4. How to Find the LCM of 36131 and 36136?

Answer:

Least Common Multiple of 36131 and 36136 = 1305629816

Step 1: Find the prime factorization of 36131

36131 = 36131

Step 2: Find the prime factorization of 36136

36136 = 2 x 2 x 2 x 4517

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

LCM = 1305629816 = 2 x 2 x 2 x 4517 x 36131

Step 4: Therefore, the least common multiple of 36131 and 36136 is 1305629816.