What is the Least Common Multiple of 90111 and 90129?

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 90111 and 90129 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90111 and 90129, than apply into the LCM equation.

GCF(90111,90129) = 3
LCM(90111,90129) = ( 90111 × 90129) / 3
LCM(90111,90129) = 8121614319 / 3
LCM(90111,90129) = 2707204773

Least Common Multiple (LCM) of 90111 and 90129 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90111 and 90129. First we will calculate the prime factors of 90111 and 90129.

Prime Factorization of 90111

Prime Factorization of 90129

Now multiplying the highest exponent prime factors to calculate the LCM of 90111 and 90129.

LCM(90111,90129) = 3¹ × 7² × 613¹ × 13¹ × 2311¹
LCM(90111,90129) = 2707204773