Least Common Multiple of 696, 6496

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 696, 6496 i.e. 19488 smallest integer divisible by all numbers.

Least common multiple (LCM) of 696, 6496 is 19488.

LCM(696, 6496) = 19488

LCM of 696, 6496

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

LCM of:

Least Common Multiple of 696,6496

Least Common Multiple (LCM) of 696,6496 is 19488

2 696, 6496
2 348, 3248
2 174, 1624
29 87, 812
3, 28

∴ So the LCM of the given numbers is 2 x 2 x 2 x 29 x 3 x 28 = 19488

Least Common Multiple of 696,6496 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 696,6496 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(696,6496) = 232

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

GCF(696,6496) x common factors =232 x 1 = 232

LCM(696,6496) = ( 696 × 6496 ) / 232

LCM(696,6496) = 4521216 / 232

LCM(696,6496) = 19488

∴ Least Common Multiple of 696,6496 is 19488

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 696, 6496

1. What is the LCM of 696, 6496?

Answer: LCM of 696, 6496 is 19488.

2. What are the Factors of 19488?

Answer: Factors of 19488 are . There are integers that are factors of 19488

3. How to Find the LCM of 696, 6496 ?

Least Common Multiple of 696, 6496.

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(696, 6496) = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 29 = 19488.