What is the Least Common Multiple of 50344 and 50348?

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 50344 and 50348 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50344 and 50348, than apply into the LCM equation.

GCF(50344,50348) = 4
LCM(50344,50348) = ( 50344 × 50348) / 4
LCM(50344,50348) = 2534719712 / 4
LCM(50344,50348) = 633679928

Least Common Multiple (LCM) of 50344 and 50348 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50344 and 50348. First we will calculate the prime factors of 50344 and 50348.

Prime Factorization of 50344

Prime Factorization of 50348

Now multiplying the highest exponent prime factors to calculate the LCM of 50344 and 50348.

LCM(50344,50348) = 2³ × 7¹ × 29¹ × 31¹ × 41¹ × 307¹
LCM(50344,50348) = 633679928