Least Common Multiple of 6000, 5466

Q: How to Find the LCM of 6000, 5466 ?

Least Common Multiple of 6000, 5466 = 5466000 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(6000, 5466) = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 5 x 911 = 5466000.

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 6000, 5466 i.e. 5466000 smallest integer divisible by all numbers.

Least common multiple (LCM) of 6000, 5466 is 5466000.

LCM(6000, 5466) = 5466000

LCM of 6000, 5466

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

Least Common Multiple of 6000, 5466 by common division method
Least Common Multiple of 6000, 5466 with GCF Formula

Least Common Multiple of 6000,5466

Least Common Multiple (LCM) of 6000,5466 is 5466000

2	6000, 5466
3	3000, 2733
	1000, 911

∴ So the LCM of the given numbers is 2 x 3 x 1000 x 911 = 5466000

Least Common Multiple of 6000,5466 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 6000,5466 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6000,5466) = 6

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

GCF(6000,5466) x common factors =6 x 1 = 6

LCM(6000,5466) = ( 6000 × 5466 ) / 6

LCM(6000,5466) = 32796000 / 6

LCM(6000,5466) = 5466000

∴ Least Common Multiple of 6000,5466 is 5466000

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 6000, 5466

1. What is the LCM of 6000, 5466?

Answer: LCM of 6000, 5466 is 5466000.

2. What are the Factors of 5466000?

Answer: Factors of 5466000 are . There are integers that are factors of 5466000

3. How to Find the LCM of 6000, 5466 ?

Least Common Multiple of 6000, 5466.

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(6000, 5466) = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 5 x 911 = 5466000.