What is the Least Common Multiple of 50779 and 50795?

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 50779 and 50795 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50779 and 50795, than apply into the LCM equation.

GCF(50779,50795) = 1
LCM(50779,50795) = ( 50779 × 50795) / 1
LCM(50779,50795) = 2579319305 / 1
LCM(50779,50795) = 2579319305

Least Common Multiple (LCM) of 50779 and 50795 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50779 and 50795. First we will calculate the prime factors of 50779 and 50795.

Prime Factorization of 50779

Prime Factorization of 50795

Now multiplying the highest exponent prime factors to calculate the LCM of 50779 and 50795.

LCM(50779,50795) = 17¹ × 29¹ × 103¹ × 5¹ × 10159¹
LCM(50779,50795) = 2579319305