Least Common Multiple of 3204, 6824

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 3204, 6824 i.e. 5466024 smallest integer divisible by all numbers.

Least common multiple (LCM) of 3204, 6824 is 5466024.

LCM(3204, 6824) = 5466024

LCM of 3204, 6824

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

LCM of:

Least Common Multiple of 3204,6824

Least Common Multiple (LCM) of 3204,6824 is 5466024

2 3204, 6824
2 1602, 3412
801, 1706

∴ So the LCM of the given numbers is 2 x 2 x 801 x 1706 = 5466024

Least Common Multiple of 3204,6824 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 3204,6824 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3204,6824) = 4

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

GCF(3204,6824) x common factors =4 x 1 = 4

LCM(3204,6824) = ( 3204 × 6824 ) / 4

LCM(3204,6824) = 21864096 / 4

LCM(3204,6824) = 5466024

∴ Least Common Multiple of 3204,6824 is 5466024

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 3204, 6824

1. What is the LCM of 3204, 6824?

Answer: LCM of 3204, 6824 is 5466024.

2. What are the Factors of 5466024?

Answer: Factors of 5466024 are . There are integers that are factors of 5466024

3. How to Find the LCM of 3204, 6824 ?

Least Common Multiple of 3204, 6824.

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(3204, 6824) = 2 x 2 x 2 x 3 x 3 x 89 x 853 = 5466024.