What is the Least Common Multiple of 78384 and 78394?

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 78384 and 78394 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78384 and 78394, than apply into the LCM equation.

GCF(78384,78394) = 2
LCM(78384,78394) = ( 78384 × 78394) / 2
LCM(78384,78394) = 6144835296 / 2
LCM(78384,78394) = 3072417648

Least Common Multiple (LCM) of 78384 and 78394 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78384 and 78394. First we will calculate the prime factors of 78384 and 78394.

Prime Factorization of 78384

Prime Factorization of 78394

Now multiplying the highest exponent prime factors to calculate the LCM of 78384 and 78394.

LCM(78384,78394) = 2⁴ × 3¹ × 23¹ × 71¹ × 19¹ × 2063¹
LCM(78384,78394) = 3072417648