What is the Least Common Multiple of 50796 and 50813?

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 50796 and 50813 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50796 and 50813, than apply into the LCM equation.

GCF(50796,50813) = 17
LCM(50796,50813) = ( 50796 × 50813) / 17
LCM(50796,50813) = 2581097148 / 17
LCM(50796,50813) = 151829244

Least Common Multiple (LCM) of 50796 and 50813 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50796 and 50813. First we will calculate the prime factors of 50796 and 50813.

Prime Factorization of 50796

Prime Factorization of 50813

Now multiplying the highest exponent prime factors to calculate the LCM of 50796 and 50813.

LCM(50796,50813) = 2² × 3² × 17¹ × 83¹ × 7² × 61¹
LCM(50796,50813) = 151829244