What is the Least Common Multiple of 50458 and 50478?

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 50458 and 50478 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50458 and 50478, than apply into the LCM equation.

GCF(50458,50478) = 2
LCM(50458,50478) = ( 50458 × 50478) / 2
LCM(50458,50478) = 2547018924 / 2
LCM(50458,50478) = 1273509462

Least Common Multiple (LCM) of 50458 and 50478 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50458 and 50478. First we will calculate the prime factors of 50458 and 50478.

Prime Factorization of 50458

Prime Factorization of 50478

Now multiplying the highest exponent prime factors to calculate the LCM of 50458 and 50478.

LCM(50458,50478) = 2¹ × 25229¹ × 3¹ × 47¹ × 179¹
LCM(50458,50478) = 1273509462