What is the Least Common Multiple of 8145 and 8165?

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 8145 and 8165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8145 and 8165, than apply into the LCM equation.

GCF(8145,8165) = 5
LCM(8145,8165) = ( 8145 × 8165) / 5
LCM(8145,8165) = 66503925 / 5
LCM(8145,8165) = 13300785

Least Common Multiple (LCM) of 8145 and 8165 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8145 and 8165. First we will calculate the prime factors of 8145 and 8165.

Prime Factorization of 8145

Prime Factorization of 8165

Now multiplying the highest exponent prime factors to calculate the LCM of 8145 and 8165.

LCM(8145,8165) = 3² × 5¹ × 181¹ × 23¹ × 71¹
LCM(8145,8165) = 13300785