What is the Least Common Multiple of 50175 and 50180?

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 50175 and 50180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50175 and 50180, than apply into the LCM equation.

GCF(50175,50180) = 5
LCM(50175,50180) = ( 50175 × 50180) / 5
LCM(50175,50180) = 2517781500 / 5
LCM(50175,50180) = 503556300

Least Common Multiple (LCM) of 50175 and 50180 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50175 and 50180. First we will calculate the prime factors of 50175 and 50180.

Prime Factorization of 50175

Prime Factorization of 50180

Now multiplying the highest exponent prime factors to calculate the LCM of 50175 and 50180.

LCM(50175,50180) = 3² × 5² × 223¹ × 2² × 13¹ × 193¹
LCM(50175,50180) = 503556300