Least Common Multiple of 1584, 3528

Q: How to Find the LCM of 1584, 3528 ?

Least Common Multiple of 1584, 3528 = 77616 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(1584, 3528) = 2 x 2 x 2 x 2 x 3 x 3 x 7 x 7 x 11 = 77616.

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 1584, 3528 i.e. 77616 smallest integer divisible by all numbers.

Least common multiple (LCM) of 1584, 3528 is 77616.

LCM(1584, 3528) = 77616

LCM of 1584, 3528

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

Least Common Multiple of 1584, 3528 by common division method
Least Common Multiple of 1584, 3528 with GCF Formula

Least Common Multiple of 1584,3528

Least Common Multiple (LCM) of 1584,3528 is 77616

2	1584, 3528
2	792, 1764
2	396, 882
3	198, 441
3	66, 147
	22, 49

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 22 x 49 = 77616

Least Common Multiple of 1584,3528 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 1584,3528 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1584,3528) = 72

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

GCF(1584,3528) x common factors =72 x 1 = 72

LCM(1584,3528) = ( 1584 × 3528 ) / 72

LCM(1584,3528) = 5588352 / 72

LCM(1584,3528) = 77616

∴ Least Common Multiple of 1584,3528 is 77616

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 1584, 3528

1. What is the LCM of 1584, 3528?

Answer: LCM of 1584, 3528 is 77616.

2. What are the Factors of 77616?

Answer: Factors of 77616 are . There are integers that are factors of 77616

3. How to Find the LCM of 1584, 3528 ?

Least Common Multiple of 1584, 3528.

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(1584, 3528) = 2 x 2 x 2 x 2 x 3 x 3 x 7 x 7 x 11 = 77616.