What is the Least Common Multiple of 50575 and 50582?

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 50582 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 50582, than apply into the LCM equation.

GCF(50575,50582) = 7
LCM(50575,50582) = ( 50575 × 50582) / 7
LCM(50575,50582) = 2558184650 / 7
LCM(50575,50582) = 365454950

Least Common Multiple (LCM) of 50575 and 50582 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50575 and 50582. First we will calculate the prime factors of 50575 and 50582.

Prime Factorization of 50575

Prime Factorization of 50582

Now multiplying the highest exponent prime factors to calculate the LCM of 50575 and 50582.

LCM(50575,50582) = 5² × 7¹ × 17² × 2¹ × 3613¹
LCM(50575,50582) = 365454950