What is the Least Common Multiple of 18558 and 18564?

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 18558 and 18564 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18558 and 18564, than apply into the LCM equation.

GCF(18558,18564) = 6
LCM(18558,18564) = ( 18558 × 18564) / 6
LCM(18558,18564) = 344510712 / 6
LCM(18558,18564) = 57418452

Least Common Multiple (LCM) of 18558 and 18564 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18558 and 18564. First we will calculate the prime factors of 18558 and 18564.

Prime Factorization of 18558

Prime Factorization of 18564

Now multiplying the highest exponent prime factors to calculate the LCM of 18558 and 18564.

LCM(18558,18564) = 2² × 3² × 1031¹ × 7¹ × 13¹ × 17¹
LCM(18558,18564) = 57418452