What is the Least Common Multiple of 27209 and 27216?

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 27209 and 27216 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27209 and 27216, than apply into the LCM equation.

GCF(27209,27216) = 7
LCM(27209,27216) = ( 27209 × 27216) / 7
LCM(27209,27216) = 740520144 / 7
LCM(27209,27216) = 105788592

Least Common Multiple (LCM) of 27209 and 27216 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27209 and 27216. First we will calculate the prime factors of 27209 and 27216.

Prime Factorization of 27209

Prime Factorization of 27216

Now multiplying the highest exponent prime factors to calculate the LCM of 27209 and 27216.

LCM(27209,27216) = 7¹ × 13² × 23¹ × 2⁴ × 3⁵
LCM(27209,27216) = 105788592