Least Common Multiple of 7004, 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 7004, 9696 i.e. 16977696 smallest integer divisible by all numbers.

Least common multiple (LCM) of 7004, 9696 is 16977696.

LCM(7004, 9696) = 16977696

LCM of 7004, 9696

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

LCM of:

Least Common Multiple of 7004,9696

Least Common Multiple (LCM) of 7004,9696 is 16977696

2 7004, 9696
2 3502, 4848
1751, 2424

∴ So the LCM of the given numbers is 2 x 2 x 1751 x 2424 = 16977696

Least Common Multiple of 7004,9696 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 7004,9696 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7004,9696) = 4

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

GCF(7004,9696) x common factors =4 x 1 = 4

LCM(7004,9696) = ( 7004 × 9696 ) / 4

LCM(7004,9696) = 67910784 / 4

LCM(7004,9696) = 16977696

∴ Least Common Multiple of 7004,9696 is 16977696

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 7004, 9696

1. What is the LCM of 7004, 9696?

Answer: LCM of 7004, 9696 is 16977696.

2. What are the Factors of 16977696?

Answer: Factors of 16977696 are . There are integers that are factors of 16977696

3. How to Find the LCM of 7004, 9696 ?

Least Common Multiple of 7004, 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(7004, 9696) = 2 x 2 x 2 x 2 x 2 x 3 x 17 x 101 x 103 = 16977696.