What is the Least Common Multiple of 50593 and 50611?

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 50593 and 50611 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50593 and 50611, than apply into the LCM equation.

GCF(50593,50611) = 1
LCM(50593,50611) = ( 50593 × 50611) / 1
LCM(50593,50611) = 2560562323 / 1
LCM(50593,50611) = 2560562323

Least Common Multiple (LCM) of 50593 and 50611 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50593 and 50611. First we will calculate the prime factors of 50593 and 50611.

Prime Factorization of 50593

Prime Factorization of 50611

Now multiplying the highest exponent prime factors to calculate the LCM of 50593 and 50611.

LCM(50593,50611) = 50593¹ × 11¹ × 43¹ × 107¹
LCM(50593,50611) = 2560562323