What is the Least Common Multiple of 21018 and 21036?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 21018 and 21036 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21018 and 21036, than apply into the LCM equation.

GCF(21018,21036) = 6
LCM(21018,21036) = ( 21018 × 21036) / 6
LCM(21018,21036) = 442134648 / 6
LCM(21018,21036) = 73689108

Least Common Multiple (LCM) of 21018 and 21036 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21018 and 21036. First we will calculate the prime factors of 21018 and 21036.

Prime Factorization of 21018

Prime Factorization of 21036

Now multiplying the highest exponent prime factors to calculate the LCM of 21018 and 21036.

LCM(21018,21036) = 2² × 3¹ × 31¹ × 113¹ × 1753¹
LCM(21018,21036) = 73689108