What is the Least Common Multiple of 9102 and 9116?

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 9116 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 9116, than apply into the LCM equation.

GCF(9102,9116) = 2
LCM(9102,9116) = ( 9102 × 9116) / 2
LCM(9102,9116) = 82973832 / 2
LCM(9102,9116) = 41486916

Least Common Multiple (LCM) of 9102 and 9116 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9102 and 9116. First we will calculate the prime factors of 9102 and 9116.

Prime Factorization of 9102

Prime Factorization of 9116

Now multiplying the highest exponent prime factors to calculate the LCM of 9102 and 9116.

LCM(9102,9116) = 2² × 3¹ × 37¹ × 41¹ × 43¹ × 53¹
LCM(9102,9116) = 41486916