What is the Least Common Multiple of 85306 and 85316?

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 85306 and 85316 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85306 and 85316, than apply into the LCM equation.

GCF(85306,85316) = 2
LCM(85306,85316) = ( 85306 × 85316) / 2
LCM(85306,85316) = 7277966696 / 2
LCM(85306,85316) = 3638983348

Least Common Multiple (LCM) of 85306 and 85316 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85306 and 85316. First we will calculate the prime factors of 85306 and 85316.

Prime Factorization of 85306

Prime Factorization of 85316

Now multiplying the highest exponent prime factors to calculate the LCM of 85306 and 85316.

LCM(85306,85316) = 2² × 13¹ × 17¹ × 193¹ × 7¹ × 11¹ × 277¹
LCM(85306,85316) = 3638983348