Least Common Multiple of 6500, 7744

Q: How to Find the LCM of 6500, 7744 ?

Least Common Multiple of 6500, 7744 = 12584000 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(6500, 7744) = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5 x 11 x 11 x 13 = 12584000.

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 6500, 7744 i.e. 12584000 smallest integer divisible by all numbers.

Least common multiple (LCM) of 6500, 7744 is 12584000.

LCM(6500, 7744) = 12584000

LCM of 6500, 7744

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

Least Common Multiple of 6500, 7744 by common division method
Least Common Multiple of 6500, 7744 with GCF Formula

Least Common Multiple of 6500,7744

Least Common Multiple (LCM) of 6500,7744 is 12584000

2	6500, 7744
2	3250, 3872
	1625, 1936

∴ So the LCM of the given numbers is 2 x 2 x 1625 x 1936 = 12584000

Least Common Multiple of 6500,7744 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 6500,7744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6500,7744) = 4

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

GCF(6500,7744) x common factors =4 x 1 = 4

LCM(6500,7744) = ( 6500 × 7744 ) / 4

LCM(6500,7744) = 50336000 / 4

LCM(6500,7744) = 12584000

∴ Least Common Multiple of 6500,7744 is 12584000

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 6500, 7744

1. What is the LCM of 6500, 7744?

Answer: LCM of 6500, 7744 is 12584000.

2. What are the Factors of 12584000?

Answer: Factors of 12584000 are . There are integers that are factors of 12584000

3. How to Find the LCM of 6500, 7744 ?

Least Common Multiple of 6500, 7744.

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(6500, 7744) = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5 x 11 x 11 x 13 = 12584000.