What is the Least Common Multiple of 27189 and 27198?

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 27189 and 27198 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27189 and 27198, than apply into the LCM equation.

GCF(27189,27198) = 9
LCM(27189,27198) = ( 27189 × 27198) / 9
LCM(27189,27198) = 739486422 / 9
LCM(27189,27198) = 82165158

Least Common Multiple (LCM) of 27189 and 27198 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27189 and 27198. First we will calculate the prime factors of 27189 and 27198.

Prime Factorization of 27189

Prime Factorization of 27198

Now multiplying the highest exponent prime factors to calculate the LCM of 27189 and 27198.

LCM(27189,27198) = 3³ × 19¹ × 53¹ × 2¹ × 1511¹
LCM(27189,27198) = 82165158