Least Common Multiple of 3564, 1604

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 3564, 1604 i.e. 1429164 smallest integer divisible by all numbers.

Least common multiple (LCM) of 3564, 1604 is 1429164.

LCM(3564, 1604) = 1429164

LCM of 3564, 1604

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

LCM of:

Least Common Multiple of 3564,1604

Least Common Multiple (LCM) of 3564,1604 is 1429164

2 3564, 1604
2 1782, 802
891, 401

∴ So the LCM of the given numbers is 2 x 2 x 891 x 401 = 1429164

Least Common Multiple of 3564,1604 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 3564,1604 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3564,1604) = 4

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

GCF(3564,1604) x common factors =4 x 1 = 4

LCM(3564,1604) = ( 3564 × 1604 ) / 4

LCM(3564,1604) = 5716656 / 4

LCM(3564,1604) = 1429164

∴ Least Common Multiple of 3564,1604 is 1429164

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 3564, 1604

1. What is the LCM of 3564, 1604?

Answer: LCM of 3564, 1604 is 1429164.

2. What are the Factors of 1429164?

Answer: Factors of 1429164 are . There are integers that are factors of 1429164

3. How to Find the LCM of 3564, 1604 ?

Least Common Multiple of 3564, 1604.

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(3564, 1604) = 2 x 2 x 3 x 3 x 3 x 3 x 11 x 401 = 1429164.