What is the Least Common Multiple of 21588 and 21599?

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 21588 and 21599 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21588 and 21599, than apply into the LCM equation.

GCF(21588,21599) = 1
LCM(21588,21599) = ( 21588 × 21599) / 1
LCM(21588,21599) = 466279212 / 1
LCM(21588,21599) = 466279212

Least Common Multiple (LCM) of 21588 and 21599 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21588 and 21599. First we will calculate the prime factors of 21588 and 21599.

Prime Factorization of 21588

Prime Factorization of 21599

Now multiplying the highest exponent prime factors to calculate the LCM of 21588 and 21599.

LCM(21588,21599) = 2² × 3¹ × 7¹ × 257¹ × 21599¹
LCM(21588,21599) = 466279212