What is the Least Common Multiple of 18164 and 18172?

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 18164 and 18172 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18164 and 18172, than apply into the LCM equation.

GCF(18164,18172) = 4
LCM(18164,18172) = ( 18164 × 18172) / 4
LCM(18164,18172) = 330076208 / 4
LCM(18164,18172) = 82519052

Least Common Multiple (LCM) of 18164 and 18172 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18164 and 18172. First we will calculate the prime factors of 18164 and 18172.

Prime Factorization of 18164

Prime Factorization of 18172

Now multiplying the highest exponent prime factors to calculate the LCM of 18164 and 18172.

LCM(18164,18172) = 2² × 19¹ × 239¹ × 7¹ × 11¹ × 59¹
LCM(18164,18172) = 82519052