What is the Least Common Multiple of 50643 and 50657?

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 50643 and 50657 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50643 and 50657, than apply into the LCM equation.

GCF(50643,50657) = 1
LCM(50643,50657) = ( 50643 × 50657) / 1
LCM(50643,50657) = 2565422451 / 1
LCM(50643,50657) = 2565422451

Least Common Multiple (LCM) of 50643 and 50657 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50643 and 50657. First we will calculate the prime factors of 50643 and 50657.

Prime Factorization of 50643

Prime Factorization of 50657

Now multiplying the highest exponent prime factors to calculate the LCM of 50643 and 50657.

LCM(50643,50657) = 3² × 17¹ × 331¹ × 179¹ × 283¹
LCM(50643,50657) = 2565422451