What is the Least Common Multiple of 78344 and 78363?

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 78344 and 78363 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78344 and 78363, than apply into the LCM equation.

GCF(78344,78363) = 1
LCM(78344,78363) = ( 78344 × 78363) / 1
LCM(78344,78363) = 6139270872 / 1
LCM(78344,78363) = 6139270872

Least Common Multiple (LCM) of 78344 and 78363 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78344 and 78363. First we will calculate the prime factors of 78344 and 78363.

Prime Factorization of 78344

Prime Factorization of 78363

Now multiplying the highest exponent prime factors to calculate the LCM of 78344 and 78363.

LCM(78344,78363) = 2³ × 7¹ × 1399¹ × 3² × 8707¹
LCM(78344,78363) = 6139270872