Least Common Multiple of 1014, 2301

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 1014, 2301 i.e. 59826 smallest integer divisible by all numbers.

Least common multiple (LCM) of 1014, 2301 is 59826.

LCM(1014, 2301) = 59826

LCM of 1014, 2301

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

LCM of:

Least Common Multiple of 1014,2301

Least Common Multiple (LCM) of 1014,2301 is 59826

3 1014, 2301
13 338, 767
26, 59

∴ So the LCM of the given numbers is 3 x 13 x 26 x 59 = 59826

Least Common Multiple of 1014,2301 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 1014,2301 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1014,2301) = 39

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

GCF(1014,2301) x common factors =39 x 1 = 39

LCM(1014,2301) = ( 1014 × 2301 ) / 39

LCM(1014,2301) = 2333214 / 39

LCM(1014,2301) = 59826

∴ Least Common Multiple of 1014,2301 is 59826

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 1014, 2301

1. What is the LCM of 1014, 2301?

Answer: LCM of 1014, 2301 is 59826.

2. What are the Factors of 59826?

Answer: Factors of 59826 are . There are integers that are factors of 59826

3. How to Find the LCM of 1014, 2301 ?

Least Common Multiple of 1014, 2301.

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(1014, 2301) = 2 x 3 x 13 x 13 x 59 = 59826.