What is the Least Common Multiple of 17853 and 17865?

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 17853 and 17865 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17853 and 17865, than apply into the LCM equation.

GCF(17853,17865) = 3
LCM(17853,17865) = ( 17853 × 17865) / 3
LCM(17853,17865) = 318943845 / 3
LCM(17853,17865) = 106314615

Least Common Multiple (LCM) of 17853 and 17865 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17853 and 17865. First we will calculate the prime factors of 17853 and 17865.

Prime Factorization of 17853

Prime Factorization of 17865

Now multiplying the highest exponent prime factors to calculate the LCM of 17853 and 17865.

LCM(17853,17865) = 3² × 11¹ × 541¹ × 5¹ × 397¹
LCM(17853,17865) = 106314615