What is the Least Common Multiple of 50239 and 50248?

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 50239 and 50248 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50239 and 50248, than apply into the LCM equation.

GCF(50239,50248) = 1
LCM(50239,50248) = ( 50239 × 50248) / 1
LCM(50239,50248) = 2524409272 / 1
LCM(50239,50248) = 2524409272

Least Common Multiple (LCM) of 50239 and 50248 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50239 and 50248. First we will calculate the prime factors of 50239 and 50248.

Prime Factorization of 50239

Prime Factorization of 50248

Now multiplying the highest exponent prime factors to calculate the LCM of 50239 and 50248.

LCM(50239,50248) = 7¹ × 7177¹ × 2³ × 11¹ × 571¹
LCM(50239,50248) = 2524409272