What is the Least Common Multiple of 18150 and 18161?

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 18150 and 18161 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18150 and 18161, than apply into the LCM equation.

GCF(18150,18161) = 11
LCM(18150,18161) = ( 18150 × 18161) / 11
LCM(18150,18161) = 329622150 / 11
LCM(18150,18161) = 29965650

Least Common Multiple (LCM) of 18150 and 18161 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18150 and 18161. First we will calculate the prime factors of 18150 and 18161.

Prime Factorization of 18150

Prime Factorization of 18161

Now multiplying the highest exponent prime factors to calculate the LCM of 18150 and 18161.

LCM(18150,18161) = 2¹ × 3¹ × 5² × 11² × 13¹ × 127¹
LCM(18150,18161) = 29965650