What is the Least Common Multiple of 64389 and 64407?

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 64389 and 64407 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64389 and 64407, than apply into the LCM equation.

GCF(64389,64407) = 3
LCM(64389,64407) = ( 64389 × 64407) / 3
LCM(64389,64407) = 4147102323 / 3
LCM(64389,64407) = 1382367441

Least Common Multiple (LCM) of 64389 and 64407 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64389 and 64407. First we will calculate the prime factors of 64389 and 64407.

Prime Factorization of 64389

Prime Factorization of 64407

Now multiplying the highest exponent prime factors to calculate the LCM of 64389 and 64407.

LCM(64389,64407) = 3¹ × 13² × 127¹ × 7¹ × 3067¹
LCM(64389,64407) = 1382367441