What is the Least Common Multiple of 21033 and 21051?

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 21033 and 21051 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21033 and 21051, than apply into the LCM equation.

GCF(21033,21051) = 9
LCM(21033,21051) = ( 21033 × 21051) / 9
LCM(21033,21051) = 442765683 / 9
LCM(21033,21051) = 49196187

Least Common Multiple (LCM) of 21033 and 21051 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21033 and 21051. First we will calculate the prime factors of 21033 and 21051.

Prime Factorization of 21033

Prime Factorization of 21051

Now multiplying the highest exponent prime factors to calculate the LCM of 21033 and 21051.

LCM(21033,21051) = 3³ × 19¹ × 41¹ × 2339¹
LCM(21033,21051) = 49196187