Least Common Multiple of 7296, 6075

Q: How to Find the LCM of 7296, 6075 ?

Least Common Multiple of 7296, 6075 = 14774400 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(7296, 6075) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 5 x 5 x 19 = 14774400.

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 7296, 6075 i.e. 14774400 smallest integer divisible by all numbers.

Least common multiple (LCM) of 7296, 6075 is 14774400.

LCM(7296, 6075) = 14774400

LCM of 7296, 6075

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

Least Common Multiple of 7296, 6075 by common division method
Least Common Multiple of 7296, 6075 with GCF Formula

Least Common Multiple of 7296,6075

Least Common Multiple (LCM) of 7296,6075 is 14774400

3	7296, 6075
	2432, 2025

∴ So the LCM of the given numbers is 3 x 2432 x 2025 = 14774400

Least Common Multiple of 7296,6075 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 7296,6075 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7296,6075) = 3

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

GCF(7296,6075) x common factors =3 x 1 = 3

LCM(7296,6075) = ( 7296 × 6075 ) / 3

LCM(7296,6075) = 44323200 / 3

LCM(7296,6075) = 14774400

∴ Least Common Multiple of 7296,6075 is 14774400

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 7296, 6075

1. What is the LCM of 7296, 6075?

Answer: LCM of 7296, 6075 is 14774400.

2. What are the Factors of 14774400?

Answer: Factors of 14774400 are . There are integers that are factors of 14774400

3. How to Find the LCM of 7296, 6075 ?

Least Common Multiple of 7296, 6075.

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(7296, 6075) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 5 x 5 x 19 = 14774400.