What is the Least Common Multiple of 21664 and 21673?

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 21664 and 21673 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21664 and 21673, than apply into the LCM equation.

GCF(21664,21673) = 1
LCM(21664,21673) = ( 21664 × 21673) / 1
LCM(21664,21673) = 469523872 / 1
LCM(21664,21673) = 469523872

Least Common Multiple (LCM) of 21664 and 21673 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21664 and 21673. First we will calculate the prime factors of 21664 and 21673.

Prime Factorization of 21664

Prime Factorization of 21673

Now multiplying the highest exponent prime factors to calculate the LCM of 21664 and 21673.

LCM(21664,21673) = 2⁵ × 677¹ × 21673¹
LCM(21664,21673) = 469523872