What is the Least Common Multiple of 21045 and 21061?

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 21045 and 21061 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21045 and 21061, than apply into the LCM equation.

GCF(21045,21061) = 1
LCM(21045,21061) = ( 21045 × 21061) / 1
LCM(21045,21061) = 443228745 / 1
LCM(21045,21061) = 443228745

Least Common Multiple (LCM) of 21045 and 21061 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21045 and 21061. First we will calculate the prime factors of 21045 and 21061.

Prime Factorization of 21045

Prime Factorization of 21061

Now multiplying the highest exponent prime factors to calculate the LCM of 21045 and 21061.

LCM(21045,21061) = 3¹ × 5¹ × 23¹ × 61¹ × 21061¹
LCM(21045,21061) = 443228745