What is the Least Common Multiple of 50208 and 50214?

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 50208 and 50214 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50208 and 50214, than apply into the LCM equation.

GCF(50208,50214) = 6
LCM(50208,50214) = ( 50208 × 50214) / 6
LCM(50208,50214) = 2521144512 / 6
LCM(50208,50214) = 420190752

Least Common Multiple (LCM) of 50208 and 50214 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50208 and 50214. First we will calculate the prime factors of 50208 and 50214.

Prime Factorization of 50208

Prime Factorization of 50214

Now multiplying the highest exponent prime factors to calculate the LCM of 50208 and 50214.

LCM(50208,50214) = 2⁵ × 3¹ × 523¹ × 8369¹
LCM(50208,50214) = 420190752