What is the Least Common Multiple of 18089 and 18101?

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 18089 and 18101 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18089 and 18101, than apply into the LCM equation.

GCF(18089,18101) = 1
LCM(18089,18101) = ( 18089 × 18101) / 1
LCM(18089,18101) = 327428989 / 1
LCM(18089,18101) = 327428989

Least Common Multiple (LCM) of 18089 and 18101 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18089 and 18101. First we will calculate the prime factors of 18089 and 18101.

Prime Factorization of 18089

Prime Factorization of 18101

Now multiplying the highest exponent prime factors to calculate the LCM of 18089 and 18101.

LCM(18089,18101) = 18089¹ × 23¹ × 787¹
LCM(18089,18101) = 327428989