What is the Least Common Multiple of 50580 and 50591?

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 50580 and 50591 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50580 and 50591, than apply into the LCM equation.

GCF(50580,50591) = 1
LCM(50580,50591) = ( 50580 × 50591) / 1
LCM(50580,50591) = 2558892780 / 1
LCM(50580,50591) = 2558892780

Least Common Multiple (LCM) of 50580 and 50591 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50580 and 50591. First we will calculate the prime factors of 50580 and 50591.

Prime Factorization of 50580

Prime Factorization of 50591

Now multiplying the highest exponent prime factors to calculate the LCM of 50580 and 50591.

LCM(50580,50591) = 2² × 3² × 5¹ × 281¹ × 50591¹
LCM(50580,50591) = 2558892780