What is the Least Common Multiple of 27084 and 27104?

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 27084 and 27104 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27084 and 27104, than apply into the LCM equation.

GCF(27084,27104) = 4
LCM(27084,27104) = ( 27084 × 27104) / 4
LCM(27084,27104) = 734084736 / 4
LCM(27084,27104) = 183521184

Least Common Multiple (LCM) of 27084 and 27104 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27084 and 27104. First we will calculate the prime factors of 27084 and 27104.

Prime Factorization of 27084

Prime Factorization of 27104

Now multiplying the highest exponent prime factors to calculate the LCM of 27084 and 27104.

LCM(27084,27104) = 2⁵ × 3¹ × 37¹ × 61¹ × 7¹ × 11²
LCM(27084,27104) = 183521184