What is the Least Common Multiple of 27072 and 27081?

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 27072 and 27081 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27072 and 27081, than apply into the LCM equation.

GCF(27072,27081) = 9
LCM(27072,27081) = ( 27072 × 27081) / 9
LCM(27072,27081) = 733136832 / 9
LCM(27072,27081) = 81459648

Least Common Multiple (LCM) of 27072 and 27081 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27072 and 27081. First we will calculate the prime factors of 27072 and 27081.

Prime Factorization of 27072

Prime Factorization of 27081

Now multiplying the highest exponent prime factors to calculate the LCM of 27072 and 27081.

LCM(27072,27081) = 2⁶ × 3³ × 47¹ × 17¹ × 59¹
LCM(27072,27081) = 81459648