What is the Least Common Multiple of 50438 and 50450?

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 50438 and 50450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50438 and 50450, than apply into the LCM equation.

GCF(50438,50450) = 2
LCM(50438,50450) = ( 50438 × 50450) / 2
LCM(50438,50450) = 2544597100 / 2
LCM(50438,50450) = 1272298550

Least Common Multiple (LCM) of 50438 and 50450 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50438 and 50450. First we will calculate the prime factors of 50438 and 50450.

Prime Factorization of 50438

Prime Factorization of 50450

Now multiplying the highest exponent prime factors to calculate the LCM of 50438 and 50450.

LCM(50438,50450) = 2¹ × 25219¹ × 5² × 1009¹
LCM(50438,50450) = 1272298550