What is the Least Common Multiple of 9105 and 9117?

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 9105 and 9117 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9105 and 9117, than apply into the LCM equation.

GCF(9105,9117) = 3
LCM(9105,9117) = ( 9105 × 9117) / 3
LCM(9105,9117) = 83010285 / 3
LCM(9105,9117) = 27670095

Least Common Multiple (LCM) of 9105 and 9117 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9105 and 9117. First we will calculate the prime factors of 9105 and 9117.

Prime Factorization of 9105

Prime Factorization of 9117

Now multiplying the highest exponent prime factors to calculate the LCM of 9105 and 9117.

LCM(9105,9117) = 3² × 5¹ × 607¹ × 1013¹
LCM(9105,9117) = 27670095