What is the Least Common Multiple of 38016 and 38021?

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 38016 and 38021 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38016 and 38021, than apply into the LCM equation.

GCF(38016,38021) = 1
LCM(38016,38021) = ( 38016 × 38021) / 1
LCM(38016,38021) = 1445406336 / 1
LCM(38016,38021) = 1445406336

Least Common Multiple (LCM) of 38016 and 38021 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38016 and 38021. First we will calculate the prime factors of 38016 and 38021.

Prime Factorization of 38016

Prime Factorization of 38021

Now multiplying the highest exponent prime factors to calculate the LCM of 38016 and 38021.

LCM(38016,38021) = 2⁷ × 3³ × 11¹ × 193¹ × 197¹
LCM(38016,38021) = 1445406336