What is the Least Common Multiple of 50775 and 50780?

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 50775 and 50780 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50775 and 50780, than apply into the LCM equation.

GCF(50775,50780) = 5
LCM(50775,50780) = ( 50775 × 50780) / 5
LCM(50775,50780) = 2578354500 / 5
LCM(50775,50780) = 515670900

Least Common Multiple (LCM) of 50775 and 50780 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50775 and 50780. First we will calculate the prime factors of 50775 and 50780.

Prime Factorization of 50775

Prime Factorization of 50780

Now multiplying the highest exponent prime factors to calculate the LCM of 50775 and 50780.

LCM(50775,50780) = 3¹ × 5² × 677¹ × 2² × 2539¹
LCM(50775,50780) = 515670900