What is the Least Common Multiple of 21594 and 21608?

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 21594 and 21608 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21594 and 21608, than apply into the LCM equation.

GCF(21594,21608) = 2
LCM(21594,21608) = ( 21594 × 21608) / 2
LCM(21594,21608) = 466603152 / 2
LCM(21594,21608) = 233301576

Least Common Multiple (LCM) of 21594 and 21608 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21594 and 21608. First we will calculate the prime factors of 21594 and 21608.

Prime Factorization of 21594

Prime Factorization of 21608

Now multiplying the highest exponent prime factors to calculate the LCM of 21594 and 21608.

LCM(21594,21608) = 2³ × 3¹ × 59¹ × 61¹ × 37¹ × 73¹
LCM(21594,21608) = 233301576