What is the Least Common Multiple of 64395 and 64413?

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 64395 and 64413 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64395 and 64413, than apply into the LCM equation.

GCF(64395,64413) = 9
LCM(64395,64413) = ( 64395 × 64413) / 9
LCM(64395,64413) = 4147875135 / 9
LCM(64395,64413) = 460875015

Least Common Multiple (LCM) of 64395 and 64413 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64395 and 64413. First we will calculate the prime factors of 64395 and 64413.

Prime Factorization of 64395

Prime Factorization of 64413

Now multiplying the highest exponent prime factors to calculate the LCM of 64395 and 64413.

LCM(64395,64413) = 3⁵ × 5¹ × 53¹ × 17¹ × 421¹
LCM(64395,64413) = 460875015