What is the Least Common Multiple of 68085 and 68102?

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 68085 and 68102 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68085 and 68102, than apply into the LCM equation.

GCF(68085,68102) = 17
LCM(68085,68102) = ( 68085 × 68102) / 17
LCM(68085,68102) = 4636724670 / 17
LCM(68085,68102) = 272748510

Least Common Multiple (LCM) of 68085 and 68102 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68085 and 68102. First we will calculate the prime factors of 68085 and 68102.

Prime Factorization of 68085

Prime Factorization of 68102

Now multiplying the highest exponent prime factors to calculate the LCM of 68085 and 68102.

LCM(68085,68102) = 3² × 5¹ × 17¹ × 89¹ × 2¹ × 2003¹
LCM(68085,68102) = 272748510