What is the Least Common Multiple of 78385 and 78393?

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 78385 and 78393 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78385 and 78393, than apply into the LCM equation.

GCF(78385,78393) = 1
LCM(78385,78393) = ( 78385 × 78393) / 1
LCM(78385,78393) = 6144835305 / 1
LCM(78385,78393) = 6144835305

Least Common Multiple (LCM) of 78385 and 78393 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78385 and 78393. First we will calculate the prime factors of 78385 and 78393.

Prime Factorization of 78385

Prime Factorization of 78393

Now multiplying the highest exponent prime factors to calculate the LCM of 78385 and 78393.

LCM(78385,78393) = 5¹ × 61¹ × 257¹ × 3¹ × 7¹ × 3733¹
LCM(78385,78393) = 6144835305