What is the Least Common Multiple of 27225 and 27234?

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 27225 and 27234 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27225 and 27234, than apply into the LCM equation.

GCF(27225,27234) = 9
LCM(27225,27234) = ( 27225 × 27234) / 9
LCM(27225,27234) = 741445650 / 9
LCM(27225,27234) = 82382850

Least Common Multiple (LCM) of 27225 and 27234 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27225 and 27234. First we will calculate the prime factors of 27225 and 27234.

Prime Factorization of 27225

Prime Factorization of 27234

Now multiplying the highest exponent prime factors to calculate the LCM of 27225 and 27234.

LCM(27225,27234) = 3² × 5² × 11² × 2¹ × 17¹ × 89¹
LCM(27225,27234) = 82382850