Least Common Multiple of 5000, 6069

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 5000, 6069 i.e. 30345000 smallest integer divisible by all numbers.

Least common multiple (LCM) of 5000, 6069 is 30345000.

LCM(5000, 6069) = 30345000

LCM of 5000, 6069

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

LCM of:

Least Common Multiple of 5000,6069

Least Common Multiple (LCM) of 5000,6069 is 30345000

Given numbers has no common factors except 1. So, there LCM is their product i.e 30345000

Least Common Multiple of 5000,6069 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 5000,6069 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5000,6069) = 1

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

GCF(5000,6069) x common factors =1 x 1 = 1

LCM(5000,6069) = ( 5000 × 6069 ) / 1

LCM(5000,6069) = 30345000 / 1

LCM(5000,6069) = 30345000

∴ Least Common Multiple of 5000,6069 is 30345000

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 5000, 6069

1. What is the LCM of 5000, 6069?

Answer: LCM of 5000, 6069 is 30345000.

2. What are the Factors of 30345000?

Answer: Factors of 30345000 are . There are integers that are factors of 30345000

3. How to Find the LCM of 5000, 6069 ?

Least Common Multiple of 5000, 6069.

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(5000, 6069) = 2 x 2 x 2 x 3 x 5 x 5 x 5 x 5 x 7 x 17 x 17 = 30345000.