What is the Least Common Multiple of 50805 and 50819?

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 50805 and 50819 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50805 and 50819, than apply into the LCM equation.

GCF(50805,50819) = 1
LCM(50805,50819) = ( 50805 × 50819) / 1
LCM(50805,50819) = 2581859295 / 1
LCM(50805,50819) = 2581859295

Least Common Multiple (LCM) of 50805 and 50819 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50805 and 50819. First we will calculate the prime factors of 50805 and 50819.

Prime Factorization of 50805

Prime Factorization of 50819

Now multiplying the highest exponent prime factors to calculate the LCM of 50805 and 50819.

LCM(50805,50819) = 3² × 5¹ × 1129¹ × 89¹ × 571¹
LCM(50805,50819) = 2581859295