What is the Least Common Multiple of 9189 and 9201?

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 9189 and 9201 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9189 and 9201, than apply into the LCM equation.

GCF(9189,9201) = 3
LCM(9189,9201) = ( 9189 × 9201) / 3
LCM(9189,9201) = 84547989 / 3
LCM(9189,9201) = 28182663

Least Common Multiple (LCM) of 9189 and 9201 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9189 and 9201. First we will calculate the prime factors of 9189 and 9201.

Prime Factorization of 9189

Prime Factorization of 9201

Now multiplying the highest exponent prime factors to calculate the LCM of 9189 and 9201.

LCM(9189,9201) = 3² × 1021¹ × 3067¹
LCM(9189,9201) = 28182663