What is the Least Common Multiple of 50384 and 50398?

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 50384 and 50398 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50384 and 50398, than apply into the LCM equation.

GCF(50384,50398) = 2
LCM(50384,50398) = ( 50384 × 50398) / 2
LCM(50384,50398) = 2539252832 / 2
LCM(50384,50398) = 1269626416

Least Common Multiple (LCM) of 50384 and 50398 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50384 and 50398. First we will calculate the prime factors of 50384 and 50398.

Prime Factorization of 50384

Prime Factorization of 50398

Now multiplying the highest exponent prime factors to calculate the LCM of 50384 and 50398.

LCM(50384,50398) = 2⁴ × 47¹ × 67¹ × 113¹ × 223¹
LCM(50384,50398) = 1269626416