What is the Least Common Multiple of 50610 and 50625?

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 50610 and 50625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50610 and 50625, than apply into the LCM equation.

GCF(50610,50625) = 15
LCM(50610,50625) = ( 50610 × 50625) / 15
LCM(50610,50625) = 2562131250 / 15
LCM(50610,50625) = 170808750

Least Common Multiple (LCM) of 50610 and 50625 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50610 and 50625. First we will calculate the prime factors of 50610 and 50625.

Prime Factorization of 50610

Prime Factorization of 50625

Now multiplying the highest exponent prime factors to calculate the LCM of 50610 and 50625.

LCM(50610,50625) = 2¹ × 3⁴ × 5⁴ × 7¹ × 241¹
LCM(50610,50625) = 170808750