What is the Least Common Multiple of 27183 and 27201?

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 27183 and 27201 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27183 and 27201, than apply into the LCM equation.

GCF(27183,27201) = 3
LCM(27183,27201) = ( 27183 × 27201) / 3
LCM(27183,27201) = 739404783 / 3
LCM(27183,27201) = 246468261

Least Common Multiple (LCM) of 27183 and 27201 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27183 and 27201. First we will calculate the prime factors of 27183 and 27201.

Prime Factorization of 27183

Prime Factorization of 27201

Now multiplying the highest exponent prime factors to calculate the LCM of 27183 and 27201.

LCM(27183,27201) = 3¹ × 13¹ × 17¹ × 41¹ × 9067¹
LCM(27183,27201) = 246468261