What is the Least Common Multiple of 9105 and 9123?

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 9123 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 9123, than apply into the LCM equation.

GCF(9105,9123) = 3
LCM(9105,9123) = ( 9105 × 9123) / 3
LCM(9105,9123) = 83064915 / 3
LCM(9105,9123) = 27688305

Least Common Multiple (LCM) of 9105 and 9123 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9105 and 9123. First we will calculate the prime factors of 9105 and 9123.

Prime Factorization of 9105

Prime Factorization of 9123

Now multiplying the highest exponent prime factors to calculate the LCM of 9105 and 9123.

LCM(9105,9123) = 3¹ × 5¹ × 607¹ × 3041¹
LCM(9105,9123) = 27688305