What is the Least Common Multiple of 50209 and 50216?

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 50209 and 50216 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50209 and 50216, than apply into the LCM equation.

GCF(50209,50216) = 1
LCM(50209,50216) = ( 50209 × 50216) / 1
LCM(50209,50216) = 2521295144 / 1
LCM(50209,50216) = 2521295144

Least Common Multiple (LCM) of 50209 and 50216 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50209 and 50216. First we will calculate the prime factors of 50209 and 50216.

Prime Factorization of 50209

Prime Factorization of 50216

Now multiplying the highest exponent prime factors to calculate the LCM of 50209 and 50216.

LCM(50209,50216) = 23¹ × 37¹ × 59¹ × 2³ × 6277¹
LCM(50209,50216) = 2521295144