Least Common Multiple of 7131 and 7136

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7131 and 7136 the smallest integer that is 50886816 that is divisible by both numbers.

Least Common Multiple (LCM) of 7131 and 7136 is 50886816.

LCM(7131,7136) = 50886816

LCM of 7131 and 7136

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

LCM of:
and

Least Common Multiple of 7131 and 7136

LCM of 7131 and 7136 is 50886816

Least common multiple can be found by multiplying the highest exponent prime factors of 7131 and 7136. First we will calculate the prime factors of 7131 and 7136.

Prime Factorization of 7131


3 7131
2377 2377
1

Prime factors of 7131 are 3,2377. Prime factorization of 7131 in exponential form is:

7131 = 31×23771

Prime Factorization of 7136


2 7136
2 3568
2 1784
2 892
2 446
223 223
1

Prime factors of 7136 are 2,223. Prime factorization of 7136 in exponential form is:

7136 = 25×2231

Now multiplying the highest exponent prime factors to calculate the LCM of 7131 and 7136.

LCM(7131,7136) = 25×31×2231×23771
LCM(7131,7136) = 50886816

Factors of 7131

List of positive integer factors of 7131 that divides 7131 without a remainder.

1, 3, 2377, 7131

Factors of 7136

List of positive integer factors of 7136 that divides 7136 without a remainder.

1, 2, 4, 8, 16, 32, 223, 446, 892, 1784, 3568, 7136

Least Common Multiple of 7131 and 7136 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7131 and 7136, than apply into the LCM equation.

GCF(7131,7136) = 1
LCM(7131,7136) = ( 7131 × 7136) / 1
LCM(7131,7136) = 50886816 / 1
LCM(7131,7136) = 50886816

Properties of LCM 7131 and 7136

(i) The LCM of 7136 and 7131 is associative

LCM of 7131 and 7136 = LCM of 7136 and 7131

Related Least Common Multiples of 7131

Related Least Common Multiples of 7136

Frequently Asked Questions on LCM of 7131 and 7136

1. What is the LCM of 7131 and 7136?

Answer: LCM of 7131 and 7136 is 50886816.

2. What are the Factors of 7131?

Answer: Factors of 7131 are 1, 3, 2377, 7131. There are 4 integers that are factors of 7131. The greatest factor of 7131 is 7131.

3. What are the Factors of 7136?

Answer: Factors of 7136 are 1, 2, 4, 8, 16, 32, 223, 446, 892, 1784, 3568, 7136. There are 12 integers that are factors of 7136. The greatest factor of 7136 is 7136.

4. How to Find the LCM of 7131 and 7136?

Answer:

Least Common Multiple of 7131 and 7136 = 50886816

Step 1: Find the prime factorization of 7131

7131 = 3 x 2377

Step 2: Find the prime factorization of 7136

7136 = 2 x 2 x 2 x 2 x 2 x 223

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

LCM = 50886816 = 2 x 2 x 2 x 2 x 2 x 3 x 223 x 2377

Step 4: Therefore, the least common multiple of 7131 and 7136 is 50886816.