Least Common Multiple of 3312, 5904

Q: How to Find the LCM of 3312, 5904 ?

Least Common Multiple of 3312, 5904 = 135792 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(3312, 5904) = 2 x 2 x 2 x 2 x 3 x 3 x 23 x 41 = 135792.

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 3312, 5904 i.e. 135792 smallest integer divisible by all numbers.

Least common multiple (LCM) of 3312, 5904 is 135792.

LCM(3312, 5904) = 135792

LCM of 3312, 5904

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

Least Common Multiple of 3312, 5904 by common division method
Least Common Multiple of 3312, 5904 with GCF Formula

Least Common Multiple of 3312,5904

Least Common Multiple (LCM) of 3312,5904 is 135792

2	3312, 5904
2	1656, 2952
2	828, 1476
2	414, 738
3	207, 369
3	69, 123
	23, 41

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 3 x 23 x 41 = 135792

Least Common Multiple of 3312,5904 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 3312,5904 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3312,5904) = 144

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

GCF(3312,5904) x common factors =144 x 1 = 144

LCM(3312,5904) = ( 3312 × 5904 ) / 144

LCM(3312,5904) = 19554048 / 144

LCM(3312,5904) = 135792

∴ Least Common Multiple of 3312,5904 is 135792

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 3312, 5904

1. What is the LCM of 3312, 5904?

Answer: LCM of 3312, 5904 is 135792.

2. What are the Factors of 135792?

Answer: Factors of 135792 are . There are integers that are factors of 135792

3. How to Find the LCM of 3312, 5904 ?

Least Common Multiple of 3312, 5904.

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(3312, 5904) = 2 x 2 x 2 x 2 x 3 x 3 x 23 x 41 = 135792.