Least Common Multiple of 6724, 3136

Q: How to Find the LCM of 6724, 3136 ?

Least Common Multiple of 6724, 3136 = 5271616 Step 1: Divide all the numbers with common prime numbers having remainder zero. Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(6724, 3136) = 2 x 2 x 2 x 2 x 2 x 2 x 7 x 7 x 41 x 41 = 5271616.

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 6724, 3136 i.e. 5271616 smallest integer divisible by all numbers.

Least common multiple (LCM) of 6724, 3136 is 5271616.

LCM(6724, 3136) = 5271616

LCM of 6724, 3136

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

Least Common Multiple of 6724, 3136 by common division method
Least Common Multiple of 6724, 3136 with GCF Formula

Least Common Multiple of 6724,3136

Least Common Multiple (LCM) of 6724,3136 is 5271616

2	6724, 3136
2	3362, 1568
	1681, 784

∴ So the LCM of the given numbers is 2 x 2 x 1681 x 784 = 5271616

Least Common Multiple of 6724,3136 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 6724,3136 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6724,3136) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(6724,3136) x common factors =4 x 1 = 4

LCM(6724,3136) = ( 6724 × 3136 ) / 4

LCM(6724,3136) = 21086464 / 4

LCM(6724,3136) = 5271616

∴ Least Common Multiple of 6724,3136 is 5271616

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 6724, 3136

1. What is the LCM of 6724, 3136?

Answer: LCM of 6724, 3136 is 5271616.

2. What are the Factors of 5271616?

Answer: Factors of 5271616 are . There are integers that are factors of 5271616

3. How to Find the LCM of 6724, 3136 ?

Least Common Multiple of 6724, 3136.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(6724, 3136) = 2 x 2 x 2 x 2 x 2 x 2 x 7 x 7 x 41 x 41 = 5271616.