What is the Least Common Multiple of 68289 and 68306?

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 68289 and 68306 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68289 and 68306, than apply into the LCM equation.

GCF(68289,68306) = 17
LCM(68289,68306) = ( 68289 × 68306) / 17
LCM(68289,68306) = 4664548434 / 17
LCM(68289,68306) = 274385202

Least Common Multiple (LCM) of 68289 and 68306 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68289 and 68306. First we will calculate the prime factors of 68289 and 68306.

Prime Factorization of 68289

Prime Factorization of 68306

Now multiplying the highest exponent prime factors to calculate the LCM of 68289 and 68306.

LCM(68289,68306) = 3¹ × 13¹ × 17¹ × 103¹ × 2¹ × 7² × 41¹
LCM(68289,68306) = 274385202