GCF and LCM Calculator Logo

What is the Least Common Multiple of 18569 and 18585?

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 (LCM) of 18569 and 18585 is 345104865.

LCM(18569,18585) = 345104865

LCM Calculator and
and

Least Common Multiple of 18569 and 18585 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18569 and 18585, than apply into the LCM equation.

GCF(18569,18585) = 1
LCM(18569,18585) = ( 18569 × 18585) / 1
LCM(18569,18585) = 345104865 / 1
LCM(18569,18585) = 345104865

Least Common Multiple (LCM) of 18569 and 18585 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18569 and 18585. First we will calculate the prime factors of 18569 and 18585.

Prime Factorization of 18569

Prime factors of 18569 are 31, 599. Prime factorization of 18569 in exponential form is:

18569 = 311 × 5991

Prime Factorization of 18585

Prime factors of 18585 are 3, 5, 7, 59. Prime factorization of 18585 in exponential form is:

18585 = 32 × 51 × 71 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 18569 and 18585.

LCM(18569,18585) = 311 × 5991 × 32 × 51 × 71 × 591
LCM(18569,18585) = 345104865