What is the Least Common Multiple of 85310 and 85326?

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 85310 and 85326 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85310 and 85326, than apply into the LCM equation.

GCF(85310,85326) = 2
LCM(85310,85326) = ( 85310 × 85326) / 2
LCM(85310,85326) = 7279161060 / 2
LCM(85310,85326) = 3639580530

Least Common Multiple (LCM) of 85310 and 85326 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85310 and 85326. First we will calculate the prime factors of 85310 and 85326.

Prime Factorization of 85310

Prime Factorization of 85326

Now multiplying the highest exponent prime factors to calculate the LCM of 85310 and 85326.

LCM(85310,85326) = 2¹ × 5¹ × 19¹ × 449¹ × 3¹ × 14221¹
LCM(85310,85326) = 3639580530