What is the Least Common Multiple of 50958 and 50977?

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 50958 and 50977 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50958 and 50977, than apply into the LCM equation.

GCF(50958,50977) = 19
LCM(50958,50977) = ( 50958 × 50977) / 19
LCM(50958,50977) = 2597685966 / 19
LCM(50958,50977) = 136720314

Least Common Multiple (LCM) of 50958 and 50977 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50958 and 50977. First we will calculate the prime factors of 50958 and 50977.

Prime Factorization of 50958

Prime Factorization of 50977

Now multiplying the highest exponent prime factors to calculate the LCM of 50958 and 50977.

LCM(50958,50977) = 2¹ × 3² × 19¹ × 149¹ × 2683¹
LCM(50958,50977) = 136720314