What is the Least Common Multiple of 59306 and 59322?

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 59306 and 59322 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59306 and 59322, than apply into the LCM equation.

GCF(59306,59322) = 2
LCM(59306,59322) = ( 59306 × 59322) / 2
LCM(59306,59322) = 3518150532 / 2
LCM(59306,59322) = 1759075266

Least Common Multiple (LCM) of 59306 and 59322 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59306 and 59322. First we will calculate the prime factors of 59306 and 59322.

Prime Factorization of 59306

Prime Factorization of 59322

Now multiplying the highest exponent prime factors to calculate the LCM of 59306 and 59322.

LCM(59306,59322) = 2¹ × 13¹ × 2281¹ × 3¹ × 9887¹
LCM(59306,59322) = 1759075266