Least Common Multiple of 6448, 9696

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 6448, 9696 i.e. 3907488 smallest integer divisible by all numbers.

Least common multiple (LCM) of 6448, 9696 is 3907488.

LCM(6448, 9696) = 3907488

LCM of 6448, 9696

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

LCM of:

Least Common Multiple of 6448,9696

Least Common Multiple (LCM) of 6448,9696 is 3907488

2 6448, 9696
2 3224, 4848
2 1612, 2424
2 806, 1212
403, 606

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 403 x 606 = 3907488

Least Common Multiple of 6448,9696 with GCF Formula

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

We need to calculate greatest common factor of 6448,9696 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6448,9696) = 16

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

GCF(6448,9696) x common factors =16 x 1 = 16

LCM(6448,9696) = ( 6448 × 9696 ) / 16

LCM(6448,9696) = 62519808 / 16

LCM(6448,9696) = 3907488

∴ Least Common Multiple of 6448,9696 is 3907488

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 6448, 9696

1. What is the LCM of 6448, 9696?

Answer: LCM of 6448, 9696 is 3907488.

2. What are the Factors of 3907488?

Answer: Factors of 3907488 are . There are integers that are factors of 3907488

3. How to Find the LCM of 6448, 9696 ?

Least Common Multiple of 6448, 9696.

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(6448, 9696) = 2 x 2 x 2 x 2 x 2 x 3 x 13 x 31 x 101 = 3907488.