What is the Least Common Multiple of 68314 and 68322?

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 68314 and 68322 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68314 and 68322, than apply into the LCM equation.

GCF(68314,68322) = 2
LCM(68314,68322) = ( 68314 × 68322) / 2
LCM(68314,68322) = 4667349108 / 2
LCM(68314,68322) = 2333674554

Least Common Multiple (LCM) of 68314 and 68322 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68314 and 68322. First we will calculate the prime factors of 68314 and 68322.

Prime Factorization of 68314

Prime Factorization of 68322

Now multiplying the highest exponent prime factors to calculate the LCM of 68314 and 68322.

LCM(68314,68322) = 2¹ × 34157¹ × 3¹ × 59¹ × 193¹
LCM(68314,68322) = 2333674554