What is the Least Common Multiple of 81111 and 81129?

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 81111 and 81129 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81111 and 81129, than apply into the LCM equation.

GCF(81111,81129) = 3
LCM(81111,81129) = ( 81111 × 81129) / 3
LCM(81111,81129) = 6580454319 / 3
LCM(81111,81129) = 2193484773

Least Common Multiple (LCM) of 81111 and 81129 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81111 and 81129. First we will calculate the prime factors of 81111 and 81129.

Prime Factorization of 81111

Prime Factorization of 81129

Now multiplying the highest exponent prime factors to calculate the LCM of 81111 and 81129.

LCM(81111,81129) = 3¹ × 19¹ × 1423¹ × 27043¹
LCM(81111,81129) = 2193484773