What is the Least Common Multiple of 66009 and 66021?

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 66009 and 66021 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66009 and 66021, than apply into the LCM equation.

GCF(66009,66021) = 3
LCM(66009,66021) = ( 66009 × 66021) / 3
LCM(66009,66021) = 4357980189 / 3
LCM(66009,66021) = 1452660063

Least Common Multiple (LCM) of 66009 and 66021 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66009 and 66021. First we will calculate the prime factors of 66009 and 66021.

Prime Factorization of 66009

Prime Factorization of 66021

Now multiplying the highest exponent prime factors to calculate the LCM of 66009 and 66021.

LCM(66009,66021) = 3¹ × 22003¹ × 59¹ × 373¹
LCM(66009,66021) = 1452660063