GCF and LCM Calculator Logo

What is the Least Common Multiple of 18562 and 18570?

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 18562 and 18570 is 172348170.

LCM(18562,18570) = 172348170

LCM Calculator and
and

Least Common Multiple of 18562 and 18570 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18562 and 18570, than apply into the LCM equation.

GCF(18562,18570) = 2
LCM(18562,18570) = ( 18562 × 18570) / 2
LCM(18562,18570) = 344696340 / 2
LCM(18562,18570) = 172348170

Least Common Multiple (LCM) of 18562 and 18570 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18562 and 18570. First we will calculate the prime factors of 18562 and 18570.

Prime Factorization of 18562

Prime factors of 18562 are 2, 9281. Prime factorization of 18562 in exponential form is:

18562 = 21 × 92811

Prime Factorization of 18570

Prime factors of 18570 are 2, 3, 5, 619. Prime factorization of 18570 in exponential form is:

18570 = 21 × 31 × 51 × 6191

Now multiplying the highest exponent prime factors to calculate the LCM of 18562 and 18570.

LCM(18562,18570) = 21 × 92811 × 31 × 51 × 6191
LCM(18562,18570) = 172348170