What is the Least Common Multiple of 27078 and 27096?

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 27078 and 27096 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27078 and 27096, than apply into the LCM equation.

GCF(27078,27096) = 6
LCM(27078,27096) = ( 27078 × 27096) / 6
LCM(27078,27096) = 733705488 / 6
LCM(27078,27096) = 122284248

Least Common Multiple (LCM) of 27078 and 27096 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27078 and 27096. First we will calculate the prime factors of 27078 and 27096.

Prime Factorization of 27078

Prime Factorization of 27096

Now multiplying the highest exponent prime factors to calculate the LCM of 27078 and 27096.

LCM(27078,27096) = 2³ × 3¹ × 4513¹ × 1129¹
LCM(27078,27096) = 122284248