What is the Least Common Multiple of 45006 and 45021?

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 45006 and 45021 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45006 and 45021, than apply into the LCM equation.

GCF(45006,45021) = 3
LCM(45006,45021) = ( 45006 × 45021) / 3
LCM(45006,45021) = 2026215126 / 3
LCM(45006,45021) = 675405042

Least Common Multiple (LCM) of 45006 and 45021 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45006 and 45021. First we will calculate the prime factors of 45006 and 45021.

Prime Factorization of 45006

Prime Factorization of 45021

Now multiplying the highest exponent prime factors to calculate the LCM of 45006 and 45021.

LCM(45006,45021) = 2¹ × 3¹ × 13¹ × 577¹ × 43¹ × 349¹
LCM(45006,45021) = 675405042