What is the Least Common Multiple of 17564 and 17573?

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 17564 and 17573 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17564 and 17573, than apply into the LCM equation.

GCF(17564,17573) = 1
LCM(17564,17573) = ( 17564 × 17573) / 1
LCM(17564,17573) = 308652172 / 1
LCM(17564,17573) = 308652172

Least Common Multiple (LCM) of 17564 and 17573 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17564 and 17573. First we will calculate the prime factors of 17564 and 17573.

Prime Factorization of 17564

Prime Factorization of 17573

Now multiplying the highest exponent prime factors to calculate the LCM of 17564 and 17573.

LCM(17564,17573) = 2² × 4391¹ × 17573¹
LCM(17564,17573) = 308652172