What is the Least Common Multiple of 36558 and 36573?

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 36558 and 36573 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36558 and 36573, than apply into the LCM equation.

GCF(36558,36573) = 3
LCM(36558,36573) = ( 36558 × 36573) / 3
LCM(36558,36573) = 1337035734 / 3
LCM(36558,36573) = 445678578

Least Common Multiple (LCM) of 36558 and 36573 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36558 and 36573. First we will calculate the prime factors of 36558 and 36573.

Prime Factorization of 36558

Prime Factorization of 36573

Now multiplying the highest exponent prime factors to calculate the LCM of 36558 and 36573.

LCM(36558,36573) = 2¹ × 3³ × 677¹ × 73¹ × 167¹
LCM(36558,36573) = 445678578