What is the Least Common Multiple of 21664 and 21669?

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 21669 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 21669, than apply into the LCM equation.

GCF(21664,21669) = 1
LCM(21664,21669) = ( 21664 × 21669) / 1
LCM(21664,21669) = 469437216 / 1
LCM(21664,21669) = 469437216

Least Common Multiple (LCM) of 21664 and 21669 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21664 and 21669. First we will calculate the prime factors of 21664 and 21669.

Prime Factorization of 21664

Prime Factorization of 21669

Now multiplying the highest exponent prime factors to calculate the LCM of 21664 and 21669.

LCM(21664,21669) = 2⁵ × 677¹ × 3¹ × 31¹ × 233¹
LCM(21664,21669) = 469437216