What is the Least Common Multiple of 64875 and 64890?

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 64875 and 64890 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64875 and 64890, than apply into the LCM equation.

GCF(64875,64890) = 15
LCM(64875,64890) = ( 64875 × 64890) / 15
LCM(64875,64890) = 4209738750 / 15
LCM(64875,64890) = 280649250

Least Common Multiple (LCM) of 64875 and 64890 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64875 and 64890. First we will calculate the prime factors of 64875 and 64890.

Prime Factorization of 64875

Prime Factorization of 64890

Now multiplying the highest exponent prime factors to calculate the LCM of 64875 and 64890.

LCM(64875,64890) = 3² × 5³ × 173¹ × 2¹ × 7¹ × 103¹
LCM(64875,64890) = 280649250