What is the Least Common Multiple of 55566 and 55573?

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 55566 and 55573 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55566 and 55573, than apply into the LCM equation.

GCF(55566,55573) = 7
LCM(55566,55573) = ( 55566 × 55573) / 7
LCM(55566,55573) = 3087969318 / 7
LCM(55566,55573) = 441138474

Least Common Multiple (LCM) of 55566 and 55573 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55566 and 55573. First we will calculate the prime factors of 55566 and 55573.

Prime Factorization of 55566

Prime Factorization of 55573

Now multiplying the highest exponent prime factors to calculate the LCM of 55566 and 55573.

LCM(55566,55573) = 2¹ × 3⁴ × 7³ × 17¹ × 467¹
LCM(55566,55573) = 441138474