What is the Least Common Multiple of 68374 and 68392?

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 68374 and 68392 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68374 and 68392, than apply into the LCM equation.

GCF(68374,68392) = 2
LCM(68374,68392) = ( 68374 × 68392) / 2
LCM(68374,68392) = 4676234608 / 2
LCM(68374,68392) = 2338117304

Least Common Multiple (LCM) of 68374 and 68392 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68374 and 68392. First we will calculate the prime factors of 68374 and 68392.

Prime Factorization of 68374

Prime Factorization of 68392

Now multiplying the highest exponent prime factors to calculate the LCM of 68374 and 68392.

LCM(68374,68392) = 2³ × 17¹ × 2011¹ × 83¹ × 103¹
LCM(68374,68392) = 2338117304