What is the Least Common Multiple of 50296 and 50307?

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 50296 and 50307 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50296 and 50307, than apply into the LCM equation.

GCF(50296,50307) = 1
LCM(50296,50307) = ( 50296 × 50307) / 1
LCM(50296,50307) = 2530240872 / 1
LCM(50296,50307) = 2530240872

Least Common Multiple (LCM) of 50296 and 50307 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50296 and 50307. First we will calculate the prime factors of 50296 and 50307.

Prime Factorization of 50296

Prime Factorization of 50307

Now multiplying the highest exponent prime factors to calculate the LCM of 50296 and 50307.

LCM(50296,50307) = 2³ × 6287¹ × 3¹ × 41¹ × 409¹
LCM(50296,50307) = 2530240872