What is the Least Common Multiple of 18210 and 18228?

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 18210 and 18228 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18210 and 18228, than apply into the LCM equation.

GCF(18210,18228) = 6
LCM(18210,18228) = ( 18210 × 18228) / 6
LCM(18210,18228) = 331931880 / 6
LCM(18210,18228) = 55321980

Least Common Multiple (LCM) of 18210 and 18228 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18210 and 18228. First we will calculate the prime factors of 18210 and 18228.

Prime Factorization of 18210

Prime Factorization of 18228

Now multiplying the highest exponent prime factors to calculate the LCM of 18210 and 18228.

LCM(18210,18228) = 2² × 3¹ × 5¹ × 607¹ × 7² × 31¹
LCM(18210,18228) = 55321980