Least Common Multiple of 4000, 7138

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 4000, 7138 i.e. 14276000 smallest integer divisible by all numbers.

Least common multiple (LCM) of 4000, 7138 is 14276000.

LCM(4000, 7138) = 14276000

LCM of 4000, 7138

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

LCM of:

Least Common Multiple of 4000,7138

Least Common Multiple (LCM) of 4000,7138 is 14276000

2 4000, 7138
2000, 3569

∴ So the LCM of the given numbers is 2 x 2000 x 3569 = 14276000

Least Common Multiple of 4000,7138 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 4000,7138 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4000,7138) = 2

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

GCF(4000,7138) x common factors =2 x 1 = 2

LCM(4000,7138) = ( 4000 × 7138 ) / 2

LCM(4000,7138) = 28552000 / 2

LCM(4000,7138) = 14276000

∴ Least Common Multiple of 4000,7138 is 14276000

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 4000, 7138

1. What is the LCM of 4000, 7138?

Answer: LCM of 4000, 7138 is 14276000.

2. What are the Factors of 14276000?

Answer: Factors of 14276000 are . There are integers that are factors of 14276000

3. How to Find the LCM of 4000, 7138 ?

Least Common Multiple of 4000, 7138.

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(4000, 7138) = 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5 x 43 x 83 = 14276000.