What is the Least Common Multiple of 64860 and 64875?

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 64860 and 64875 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64860 and 64875, than apply into the LCM equation.

GCF(64860,64875) = 15
LCM(64860,64875) = ( 64860 × 64875) / 15
LCM(64860,64875) = 4207792500 / 15
LCM(64860,64875) = 280519500

Least Common Multiple (LCM) of 64860 and 64875 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64860 and 64875. First we will calculate the prime factors of 64860 and 64875.

Prime Factorization of 64860

Prime Factorization of 64875

Now multiplying the highest exponent prime factors to calculate the LCM of 64860 and 64875.

LCM(64860,64875) = 2² × 3¹ × 5³ × 23¹ × 47¹ × 173¹
LCM(64860,64875) = 280519500