What is the Least Common Multiple of 48006 and 48021?

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 48006 and 48021 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48006 and 48021, than apply into the LCM equation.

GCF(48006,48021) = 3
LCM(48006,48021) = ( 48006 × 48021) / 3
LCM(48006,48021) = 2305296126 / 3
LCM(48006,48021) = 768432042

Least Common Multiple (LCM) of 48006 and 48021 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48006 and 48021. First we will calculate the prime factors of 48006 and 48021.

Prime Factorization of 48006

Prime Factorization of 48021

Now multiplying the highest exponent prime factors to calculate the LCM of 48006 and 48021.

LCM(48006,48021) = 2¹ × 3³ × 7¹ × 127¹ × 16007¹
LCM(48006,48021) = 768432042