What is the Least Common Multiple of 78384 and 78391?

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 78391 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 78391, than apply into the LCM equation.

GCF(78384,78391) = 1
LCM(78384,78391) = ( 78384 × 78391) / 1
LCM(78384,78391) = 6144600144 / 1
LCM(78384,78391) = 6144600144

Least Common Multiple (LCM) of 78384 and 78391 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78384 and 78391. First we will calculate the prime factors of 78384 and 78391.

Prime Factorization of 78384

Prime Factorization of 78391

Now multiplying the highest exponent prime factors to calculate the LCM of 78384 and 78391.

LCM(78384,78391) = 2⁴ × 3¹ × 23¹ × 71¹ × 277¹ × 283¹
LCM(78384,78391) = 6144600144