What is the Least Common Multiple of 81084 and 81096?

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 81084 and 81096 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81084 and 81096, than apply into the LCM equation.

GCF(81084,81096) = 12
LCM(81084,81096) = ( 81084 × 81096) / 12
LCM(81084,81096) = 6575588064 / 12
LCM(81084,81096) = 547965672

Least Common Multiple (LCM) of 81084 and 81096 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81084 and 81096. First we will calculate the prime factors of 81084 and 81096.

Prime Factorization of 81084

Prime Factorization of 81096

Now multiplying the highest exponent prime factors to calculate the LCM of 81084 and 81096.

LCM(81084,81096) = 2³ × 3¹ × 29¹ × 233¹ × 31¹ × 109¹
LCM(81084,81096) = 547965672