What is the Least Common Multiple of 21019 and 21024?

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 21019 and 21024 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21019 and 21024, than apply into the LCM equation.

GCF(21019,21024) = 1
LCM(21019,21024) = ( 21019 × 21024) / 1
LCM(21019,21024) = 441903456 / 1
LCM(21019,21024) = 441903456

Least Common Multiple (LCM) of 21019 and 21024 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21019 and 21024. First we will calculate the prime factors of 21019 and 21024.

Prime Factorization of 21019

Prime Factorization of 21024

Now multiplying the highest exponent prime factors to calculate the LCM of 21019 and 21024.

LCM(21019,21024) = 21019¹ × 2⁵ × 3² × 73¹
LCM(21019,21024) = 441903456