What is the Least Common Multiple of 50014 and 50032?

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 50014 and 50032 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50014 and 50032, than apply into the LCM equation.

GCF(50014,50032) = 2
LCM(50014,50032) = ( 50014 × 50032) / 2
LCM(50014,50032) = 2502300448 / 2
LCM(50014,50032) = 1251150224

Least Common Multiple (LCM) of 50014 and 50032 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50014 and 50032. First we will calculate the prime factors of 50014 and 50032.

Prime Factorization of 50014

Prime Factorization of 50032

Now multiplying the highest exponent prime factors to calculate the LCM of 50014 and 50032.

LCM(50014,50032) = 2⁴ × 17¹ × 1471¹ × 53¹ × 59¹
LCM(50014,50032) = 1251150224