What is the Least Common Multiple of 81096 and 81108?

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 81096 and 81108 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81096 and 81108, than apply into the LCM equation.

GCF(81096,81108) = 12
LCM(81096,81108) = ( 81096 × 81108) / 12
LCM(81096,81108) = 6577534368 / 12
LCM(81096,81108) = 548127864

Least Common Multiple (LCM) of 81096 and 81108 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81096 and 81108. First we will calculate the prime factors of 81096 and 81108.

Prime Factorization of 81096

Prime Factorization of 81108

Now multiplying the highest exponent prime factors to calculate the LCM of 81096 and 81108.

LCM(81096,81108) = 2³ × 3³ × 31¹ × 109¹ × 751¹
LCM(81096,81108) = 548127864