Least Common Multiple of 4004, 5349

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 4004, 5349 i.e. 21417396 smallest integer divisible by all numbers.

Least common multiple (LCM) of 4004, 5349 is 21417396.

LCM(4004, 5349) = 21417396

LCM of 4004, 5349

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

LCM of:

Least Common Multiple of 4004,5349

Least Common Multiple (LCM) of 4004,5349 is 21417396

Given numbers has no common factors except 1. So, there LCM is their product i.e 21417396

Least Common Multiple of 4004,5349 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 4004,5349 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4004,5349) = 1

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

GCF(4004,5349) x common factors =1 x 1 = 1

LCM(4004,5349) = ( 4004 × 5349 ) / 1

LCM(4004,5349) = 21417396 / 1

LCM(4004,5349) = 21417396

∴ Least Common Multiple of 4004,5349 is 21417396

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 4004, 5349

1. What is the LCM of 4004, 5349?

Answer: LCM of 4004, 5349 is 21417396.

2. What are the Factors of 21417396?

Answer: Factors of 21417396 are . There are integers that are factors of 21417396

3. How to Find the LCM of 4004, 5349 ?

Least Common Multiple of 4004, 5349.

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(4004, 5349) = 2 x 2 x 3 x 7 x 11 x 13 x 1783 = 21417396.