What is the Least Common Multiple of 50075 and 50085?

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 50075 and 50085 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50075 and 50085, than apply into the LCM equation.

GCF(50075,50085) = 5
LCM(50075,50085) = ( 50075 × 50085) / 5
LCM(50075,50085) = 2508006375 / 5
LCM(50075,50085) = 501601275

Least Common Multiple (LCM) of 50075 and 50085 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50075 and 50085. First we will calculate the prime factors of 50075 and 50085.

Prime Factorization of 50075

Prime Factorization of 50085

Now multiplying the highest exponent prime factors to calculate the LCM of 50075 and 50085.

LCM(50075,50085) = 5² × 2003¹ × 3³ × 7¹ × 53¹
LCM(50075,50085) = 501601275