Least Common Multiple of 1506, 1749

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 1506, 1749 i.e. 877998 smallest integer divisible by all numbers.

Least common multiple (LCM) of 1506, 1749 is 877998.

LCM(1506, 1749) = 877998

LCM of 1506, 1749

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

LCM of:

Least Common Multiple of 1506,1749

Least Common Multiple (LCM) of 1506,1749 is 877998

3 1506, 1749
502, 583

∴ So the LCM of the given numbers is 3 x 502 x 583 = 877998

Least Common Multiple of 1506,1749 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 1506,1749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1506,1749) = 3

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

GCF(1506,1749) x common factors =3 x 1 = 3

LCM(1506,1749) = ( 1506 × 1749 ) / 3

LCM(1506,1749) = 2633994 / 3

LCM(1506,1749) = 877998

∴ Least Common Multiple of 1506,1749 is 877998

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 1506, 1749

1. What is the LCM of 1506, 1749?

Answer: LCM of 1506, 1749 is 877998.

2. What are the Factors of 877998?

Answer: Factors of 877998 are . There are integers that are factors of 877998

3. How to Find the LCM of 1506, 1749 ?

Least Common Multiple of 1506, 1749.

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(1506, 1749) = 2 x 3 x 11 x 53 x 251 = 877998.