What is the Least Common Multiple of 50218 and 50235?

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 50218 and 50235 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50218 and 50235, than apply into the LCM equation.

GCF(50218,50235) = 17
LCM(50218,50235) = ( 50218 × 50235) / 17
LCM(50218,50235) = 2522701230 / 17
LCM(50218,50235) = 148394190

Least Common Multiple (LCM) of 50218 and 50235 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50218 and 50235. First we will calculate the prime factors of 50218 and 50235.

Prime Factorization of 50218

Prime Factorization of 50235

Now multiplying the highest exponent prime factors to calculate the LCM of 50218 and 50235.

LCM(50218,50235) = 2¹ × 7¹ × 17¹ × 211¹ × 3¹ × 5¹ × 197¹
LCM(50218,50235) = 148394190