What is the Least Common Multiple of 50774 and 50782?

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 50774 and 50782 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50774 and 50782, than apply into the LCM equation.

GCF(50774,50782) = 2
LCM(50774,50782) = ( 50774 × 50782) / 2
LCM(50774,50782) = 2578405268 / 2
LCM(50774,50782) = 1289202634

Least Common Multiple (LCM) of 50774 and 50782 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50774 and 50782. First we will calculate the prime factors of 50774 and 50782.

Prime Factorization of 50774

Prime Factorization of 50782

Now multiplying the highest exponent prime factors to calculate the LCM of 50774 and 50782.

LCM(50774,50782) = 2¹ × 53¹ × 479¹ × 25391¹
LCM(50774,50782) = 1289202634