What is the Least Common Multiple of 19644 and 19664?

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 19644 and 19664 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19644 and 19664, than apply into the LCM equation.

GCF(19644,19664) = 4
LCM(19644,19664) = ( 19644 × 19664) / 4
LCM(19644,19664) = 386279616 / 4
LCM(19644,19664) = 96569904

Least Common Multiple (LCM) of 19644 and 19664 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19644 and 19664. First we will calculate the prime factors of 19644 and 19664.

Prime Factorization of 19644

Prime Factorization of 19664

Now multiplying the highest exponent prime factors to calculate the LCM of 19644 and 19664.

LCM(19644,19664) = 2⁴ × 3¹ × 1637¹ × 1229¹
LCM(19644,19664) = 96569904