What is the Least Common Multiple of 21633 and 21641?

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 21633 and 21641 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21633 and 21641, than apply into the LCM equation.

GCF(21633,21641) = 1
LCM(21633,21641) = ( 21633 × 21641) / 1
LCM(21633,21641) = 468159753 / 1
LCM(21633,21641) = 468159753

Least Common Multiple (LCM) of 21633 and 21641 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21633 and 21641. First we will calculate the prime factors of 21633 and 21641.

Prime Factorization of 21633

Prime Factorization of 21641

Now multiplying the highest exponent prime factors to calculate the LCM of 21633 and 21641.

LCM(21633,21641) = 3¹ × 7211¹ × 17¹ × 19¹ × 67¹
LCM(21633,21641) = 468159753