What is the Least Common Multiple of 72573 and 72585?

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 72573 and 72585 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72573 and 72585, than apply into the LCM equation.

GCF(72573,72585) = 3
LCM(72573,72585) = ( 72573 × 72585) / 3
LCM(72573,72585) = 5267711205 / 3
LCM(72573,72585) = 1755903735

Least Common Multiple (LCM) of 72573 and 72585 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72573 and 72585. First we will calculate the prime factors of 72573 and 72585.

Prime Factorization of 72573

Prime Factorization of 72585

Now multiplying the highest exponent prime factors to calculate the LCM of 72573 and 72585.

LCM(72573,72585) = 3² × 17¹ × 1423¹ × 5¹ × 1613¹
LCM(72573,72585) = 1755903735