What is the Least Common Multiple of 17564 and 17575?

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 17575 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 17575, than apply into the LCM equation.

GCF(17564,17575) = 1
LCM(17564,17575) = ( 17564 × 17575) / 1
LCM(17564,17575) = 308687300 / 1
LCM(17564,17575) = 308687300

Least Common Multiple (LCM) of 17564 and 17575 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17564 and 17575. First we will calculate the prime factors of 17564 and 17575.

Prime Factorization of 17564

Prime Factorization of 17575

Now multiplying the highest exponent prime factors to calculate the LCM of 17564 and 17575.

LCM(17564,17575) = 2² × 4391¹ × 5² × 19¹ × 37¹
LCM(17564,17575) = 308687300