What is the Least Common Multiple of 84006 and 84021?

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 84006 and 84021 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84006 and 84021, than apply into the LCM equation.

GCF(84006,84021) = 3
LCM(84006,84021) = ( 84006 × 84021) / 3
LCM(84006,84021) = 7058268126 / 3
LCM(84006,84021) = 2352756042

Least Common Multiple (LCM) of 84006 and 84021 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84006 and 84021. First we will calculate the prime factors of 84006 and 84021.

Prime Factorization of 84006

Prime Factorization of 84021

Now multiplying the highest exponent prime factors to calculate the LCM of 84006 and 84021.

LCM(84006,84021) = 2¹ × 3² × 13¹ × 359¹ × 7¹ × 4001¹
LCM(84006,84021) = 2352756042