What is the Least Common Multiple of 50575 and 50585?

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 50575 and 50585 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50575 and 50585, than apply into the LCM equation.

GCF(50575,50585) = 5
LCM(50575,50585) = ( 50575 × 50585) / 5
LCM(50575,50585) = 2558336375 / 5
LCM(50575,50585) = 511667275

Least Common Multiple (LCM) of 50575 and 50585 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50575 and 50585. First we will calculate the prime factors of 50575 and 50585.

Prime Factorization of 50575

Prime Factorization of 50585

Now multiplying the highest exponent prime factors to calculate the LCM of 50575 and 50585.

LCM(50575,50585) = 5² × 7¹ × 17² × 67¹ × 151¹
LCM(50575,50585) = 511667275