What is the Least Common Multiple of 9102 and 9107?

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 9102 and 9107 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9102 and 9107, than apply into the LCM equation.

GCF(9102,9107) = 1
LCM(9102,9107) = ( 9102 × 9107) / 1
LCM(9102,9107) = 82891914 / 1
LCM(9102,9107) = 82891914

Least Common Multiple (LCM) of 9102 and 9107 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9102 and 9107. First we will calculate the prime factors of 9102 and 9107.

Prime Factorization of 9102

Prime Factorization of 9107

Now multiplying the highest exponent prime factors to calculate the LCM of 9102 and 9107.

LCM(9102,9107) = 2¹ × 3¹ × 37¹ × 41¹ × 7¹ × 1301¹
LCM(9102,9107) = 82891914