What is the Least Common Multiple of 65625 and 65640?

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 65625 and 65640 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65625 and 65640, than apply into the LCM equation.

GCF(65625,65640) = 15
LCM(65625,65640) = ( 65625 × 65640) / 15
LCM(65625,65640) = 4307625000 / 15
LCM(65625,65640) = 287175000

Least Common Multiple (LCM) of 65625 and 65640 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65625 and 65640. First we will calculate the prime factors of 65625 and 65640.

Prime Factorization of 65625

Prime Factorization of 65640

Now multiplying the highest exponent prime factors to calculate the LCM of 65625 and 65640.

LCM(65625,65640) = 3¹ × 5⁵ × 7¹ × 2³ × 547¹
LCM(65625,65640) = 287175000