What is the Least Common Multiple of 81108 and 81121?

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 81108 and 81121 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81108 and 81121, than apply into the LCM equation.

GCF(81108,81121) = 1
LCM(81108,81121) = ( 81108 × 81121) / 1
LCM(81108,81121) = 6579562068 / 1
LCM(81108,81121) = 6579562068

Least Common Multiple (LCM) of 81108 and 81121 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81108 and 81121. First we will calculate the prime factors of 81108 and 81121.

Prime Factorization of 81108

Prime Factorization of 81121

Now multiplying the highest exponent prime factors to calculate the LCM of 81108 and 81121.

LCM(81108,81121) = 2² × 3³ × 751¹ × 23¹ × 3527¹
LCM(81108,81121) = 6579562068