What is the Least Common Multiple of 65850 and 65865?

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 65850 and 65865 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65850 and 65865, than apply into the LCM equation.

GCF(65850,65865) = 15
LCM(65850,65865) = ( 65850 × 65865) / 15
LCM(65850,65865) = 4337210250 / 15
LCM(65850,65865) = 289147350

Least Common Multiple (LCM) of 65850 and 65865 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65850 and 65865. First we will calculate the prime factors of 65850 and 65865.

Prime Factorization of 65850

Prime Factorization of 65865

Now multiplying the highest exponent prime factors to calculate the LCM of 65850 and 65865.

LCM(65850,65865) = 2¹ × 3¹ × 5² × 439¹ × 4391¹
LCM(65850,65865) = 289147350