Least Common Multiple of 4536, 5040

Q: How to Find the LCM of 4536, 5040 ?

Least Common Multiple of 4536, 5040 = 45360 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(4536, 5040) = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 7 = 45360.

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 4536, 5040 i.e. 45360 smallest integer divisible by all numbers.

Least common multiple (LCM) of 4536, 5040 is 45360.

LCM(4536, 5040) = 45360

LCM of 4536, 5040

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

Least Common Multiple of 4536, 5040 by common division method
Least Common Multiple of 4536, 5040 with GCF Formula

Least Common Multiple of 4536,5040

Least Common Multiple (LCM) of 4536,5040 is 45360

2	4536, 5040
2	2268, 2520
2	1134, 1260
3	567, 630
3	189, 210
7	63, 70
	9, 10

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 7 x 9 x 10 = 45360

Least Common Multiple of 4536,5040 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 4536,5040 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4536,5040) = 504

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

GCF(4536,5040) x common factors =504 x 1 = 504

LCM(4536,5040) = ( 4536 × 5040 ) / 504

LCM(4536,5040) = 22861440 / 504

LCM(4536,5040) = 45360

∴ Least Common Multiple of 4536,5040 is 45360

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 4536, 5040

1. What is the LCM of 4536, 5040?

Answer: LCM of 4536, 5040 is 45360.

2. What are the Factors of 45360?

Answer: Factors of 45360 are . There are integers that are factors of 45360

3. How to Find the LCM of 4536, 5040 ?

Least Common Multiple of 4536, 5040.

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(4536, 5040) = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 7 = 45360.