What is the Least Common Multiple of 68378 and 68396?

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 68378 and 68396 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68378 and 68396, than apply into the LCM equation.

GCF(68378,68396) = 2
LCM(68378,68396) = ( 68378 × 68396) / 2
LCM(68378,68396) = 4676781688 / 2
LCM(68378,68396) = 2338390844

Least Common Multiple (LCM) of 68378 and 68396 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68378 and 68396. First we will calculate the prime factors of 68378 and 68396.

Prime Factorization of 68378

Prime Factorization of 68396

Now multiplying the highest exponent prime factors to calculate the LCM of 68378 and 68396.

LCM(68378,68396) = 2² × 179¹ × 191¹ × 17099¹
LCM(68378,68396) = 2338390844