What is the Least Common Multiple of 9195 and 9215?

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 9195 and 9215 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9195 and 9215, than apply into the LCM equation.

GCF(9195,9215) = 5
LCM(9195,9215) = ( 9195 × 9215) / 5
LCM(9195,9215) = 84731925 / 5
LCM(9195,9215) = 16946385

Least Common Multiple (LCM) of 9195 and 9215 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9195 and 9215. First we will calculate the prime factors of 9195 and 9215.

Prime Factorization of 9195

Prime Factorization of 9215

Now multiplying the highest exponent prime factors to calculate the LCM of 9195 and 9215.

LCM(9195,9215) = 3¹ × 5¹ × 613¹ × 19¹ × 97¹
LCM(9195,9215) = 16946385