What is the Least Common Multiple of 17575 and 17581?

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 17575 and 17581 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17575 and 17581, than apply into the LCM equation.

GCF(17575,17581) = 1
LCM(17575,17581) = ( 17575 × 17581) / 1
LCM(17575,17581) = 308986075 / 1
LCM(17575,17581) = 308986075

Least Common Multiple (LCM) of 17575 and 17581 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17575 and 17581. First we will calculate the prime factors of 17575 and 17581.

Prime Factorization of 17575

Prime Factorization of 17581

Now multiplying the highest exponent prime factors to calculate the LCM of 17575 and 17581.

LCM(17575,17581) = 5² × 19¹ × 37¹ × 17581¹
LCM(17575,17581) = 308986075