What is the Least Common Multiple of 50658 and 50677?

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 50658 and 50677 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50658 and 50677, than apply into the LCM equation.

GCF(50658,50677) = 1
LCM(50658,50677) = ( 50658 × 50677) / 1
LCM(50658,50677) = 2567195466 / 1
LCM(50658,50677) = 2567195466

Least Common Multiple (LCM) of 50658 and 50677 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50658 and 50677. First we will calculate the prime factors of 50658 and 50677.

Prime Factorization of 50658

Prime Factorization of 50677

Now multiplying the highest exponent prime factors to calculate the LCM of 50658 and 50677.

LCM(50658,50677) = 2¹ × 3¹ × 8443¹ × 11¹ × 17¹ × 271¹
LCM(50658,50677) = 2567195466