What is the Least Common Multiple of 21024 and 21038?

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 21024 and 21038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21024 and 21038, than apply into the LCM equation.

GCF(21024,21038) = 2
LCM(21024,21038) = ( 21024 × 21038) / 2
LCM(21024,21038) = 442302912 / 2
LCM(21024,21038) = 221151456

Least Common Multiple (LCM) of 21024 and 21038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21024 and 21038. First we will calculate the prime factors of 21024 and 21038.

Prime Factorization of 21024

Prime Factorization of 21038

Now multiplying the highest exponent prime factors to calculate the LCM of 21024 and 21038.

LCM(21024,21038) = 2⁵ × 3² × 73¹ × 67¹ × 157¹
LCM(21024,21038) = 221151456