What is the Least Common Multiple of 72558 and 72563?

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 72558 and 72563 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72558 and 72563, than apply into the LCM equation.

GCF(72558,72563) = 1
LCM(72558,72563) = ( 72558 × 72563) / 1
LCM(72558,72563) = 5265026154 / 1
LCM(72558,72563) = 5265026154

Least Common Multiple (LCM) of 72558 and 72563 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72558 and 72563. First we will calculate the prime factors of 72558 and 72563.

Prime Factorization of 72558

Prime Factorization of 72563

Now multiplying the highest exponent prime factors to calculate the LCM of 72558 and 72563.

LCM(72558,72563) = 2¹ × 3² × 29¹ × 139¹ × 149¹ × 487¹
LCM(72558,72563) = 5265026154