Least Common Multiple of 5712, 6272

Q: How to Find the LCM of 5712, 6272 ?

Least Common Multiple of 5712, 6272 = 319872 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(5712, 6272) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 7 x 17 = 319872.

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 5712, 6272 i.e. 319872 smallest integer divisible by all numbers.

Least common multiple (LCM) of 5712, 6272 is 319872.

LCM(5712, 6272) = 319872

LCM of 5712, 6272

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

Least Common Multiple of 5712, 6272 by common division method
Least Common Multiple of 5712, 6272 with GCF Formula

Least Common Multiple of 5712,6272

Least Common Multiple (LCM) of 5712,6272 is 319872

2	5712, 6272
2	2856, 3136
2	1428, 1568
2	714, 784
7	357, 392
	51, 56

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 7 x 51 x 56 = 319872

Least Common Multiple of 5712,6272 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 5712,6272 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5712,6272) = 112

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

GCF(5712,6272) x common factors =112 x 1 = 112

LCM(5712,6272) = ( 5712 × 6272 ) / 112

LCM(5712,6272) = 35825664 / 112

LCM(5712,6272) = 319872

∴ Least Common Multiple of 5712,6272 is 319872

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 5712, 6272

1. What is the LCM of 5712, 6272?

Answer: LCM of 5712, 6272 is 319872.

2. What are the Factors of 319872?

Answer: Factors of 319872 are . There are integers that are factors of 319872

3. How to Find the LCM of 5712, 6272 ?

Least Common Multiple of 5712, 6272.

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(5712, 6272) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 7 x 17 = 319872.