What is the Least Common Multiple of 72558 and 72573?

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 72573 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 72573, than apply into the LCM equation.

GCF(72558,72573) = 3
LCM(72558,72573) = ( 72558 × 72573) / 3
LCM(72558,72573) = 5265751734 / 3
LCM(72558,72573) = 1755250578

Least Common Multiple (LCM) of 72558 and 72573 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72558 and 72573. First we will calculate the prime factors of 72558 and 72573.

Prime Factorization of 72558

Prime Factorization of 72573

Now multiplying the highest exponent prime factors to calculate the LCM of 72558 and 72573.

LCM(72558,72573) = 2¹ × 3² × 29¹ × 139¹ × 17¹ × 1423¹
LCM(72558,72573) = 1755250578