What is the Least Common Multiple of 21012 and 21027?

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 21012 and 21027 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21012 and 21027, than apply into the LCM equation.

GCF(21012,21027) = 3
LCM(21012,21027) = ( 21012 × 21027) / 3
LCM(21012,21027) = 441819324 / 3
LCM(21012,21027) = 147273108

Least Common Multiple (LCM) of 21012 and 21027 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21012 and 21027. First we will calculate the prime factors of 21012 and 21027.

Prime Factorization of 21012

Prime Factorization of 21027

Now multiplying the highest exponent prime factors to calculate the LCM of 21012 and 21027.

LCM(21012,21027) = 2² × 3¹ × 17¹ × 103¹ × 43¹ × 163¹
LCM(21012,21027) = 147273108