What is the Least Common Multiple of 21024 and 21033?

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 21033 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 21033, than apply into the LCM equation.

GCF(21024,21033) = 9
LCM(21024,21033) = ( 21024 × 21033) / 9
LCM(21024,21033) = 442197792 / 9
LCM(21024,21033) = 49133088

Least Common Multiple (LCM) of 21024 and 21033 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21024 and 21033. First we will calculate the prime factors of 21024 and 21033.

Prime Factorization of 21024

Prime Factorization of 21033

Now multiplying the highest exponent prime factors to calculate the LCM of 21024 and 21033.

LCM(21024,21033) = 2⁵ × 3³ × 73¹ × 19¹ × 41¹
LCM(21024,21033) = 49133088