What is the Least Common Multiple of 9105 and 9112?

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 9112 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 9112, than apply into the LCM equation.

GCF(9105,9112) = 1
LCM(9105,9112) = ( 9105 × 9112) / 1
LCM(9105,9112) = 82964760 / 1
LCM(9105,9112) = 82964760

Least Common Multiple (LCM) of 9105 and 9112 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9105 and 9112. First we will calculate the prime factors of 9105 and 9112.

Prime Factorization of 9105

Prime Factorization of 9112

Now multiplying the highest exponent prime factors to calculate the LCM of 9105 and 9112.

LCM(9105,9112) = 3¹ × 5¹ × 607¹ × 2³ × 17¹ × 67¹
LCM(9105,9112) = 82964760