What is the Least Common Multiple of 50625 and 50635?

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 50635 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 50635, than apply into the LCM equation.

GCF(50625,50635) = 5
LCM(50625,50635) = ( 50625 × 50635) / 5
LCM(50625,50635) = 2563396875 / 5
LCM(50625,50635) = 512679375

Least Common Multiple (LCM) of 50625 and 50635 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50625 and 50635. First we will calculate the prime factors of 50625 and 50635.

Prime Factorization of 50625

Prime Factorization of 50635

Now multiplying the highest exponent prime factors to calculate the LCM of 50625 and 50635.

LCM(50625,50635) = 3⁴ × 5⁴ × 13¹ × 19¹ × 41¹
LCM(50625,50635) = 512679375