What is the Least Common Multiple of 10845 and 10865?

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 10845 and 10865 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10845 and 10865, than apply into the LCM equation.

GCF(10845,10865) = 5
LCM(10845,10865) = ( 10845 × 10865) / 5
LCM(10845,10865) = 117830925 / 5
LCM(10845,10865) = 23566185

Least Common Multiple (LCM) of 10845 and 10865 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10845 and 10865. First we will calculate the prime factors of 10845 and 10865.

Prime Factorization of 10845

Prime Factorization of 10865

Now multiplying the highest exponent prime factors to calculate the LCM of 10845 and 10865.

LCM(10845,10865) = 3² × 5¹ × 241¹ × 41¹ × 53¹
LCM(10845,10865) = 23566185