What is the Least Common Multiple of 50625 and 50640?

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 50625 and 50640 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50625 and 50640, than apply into the LCM equation.

GCF(50625,50640) = 15
LCM(50625,50640) = ( 50625 × 50640) / 15
LCM(50625,50640) = 2563650000 / 15
LCM(50625,50640) = 170910000

Least Common Multiple (LCM) of 50625 and 50640 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50625 and 50640. First we will calculate the prime factors of 50625 and 50640.

Prime Factorization of 50625

Prime Factorization of 50640

Now multiplying the highest exponent prime factors to calculate the LCM of 50625 and 50640.

LCM(50625,50640) = 3⁴ × 5⁴ × 2⁴ × 211¹
LCM(50625,50640) = 170910000