What is the Least Common Multiple of 21644 and 21664?

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 21644 and 21664 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21644 and 21664, than apply into the LCM equation.

GCF(21644,21664) = 4
LCM(21644,21664) = ( 21644 × 21664) / 4
LCM(21644,21664) = 468895616 / 4
LCM(21644,21664) = 117223904

Least Common Multiple (LCM) of 21644 and 21664 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21644 and 21664. First we will calculate the prime factors of 21644 and 21664.

Prime Factorization of 21644

Prime Factorization of 21664

Now multiplying the highest exponent prime factors to calculate the LCM of 21644 and 21664.

LCM(21644,21664) = 2⁵ × 7¹ × 773¹ × 677¹
LCM(21644,21664) = 117223904