What is the Least Common Multiple of 78304 and 78313?

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 78304 and 78313 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78304 and 78313, than apply into the LCM equation.

GCF(78304,78313) = 1
LCM(78304,78313) = ( 78304 × 78313) / 1
LCM(78304,78313) = 6132221152 / 1
LCM(78304,78313) = 6132221152

Least Common Multiple (LCM) of 78304 and 78313 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78304 and 78313. First we will calculate the prime factors of 78304 and 78313.

Prime Factorization of 78304

Prime Factorization of 78313

Now multiplying the highest exponent prime factors to calculate the LCM of 78304 and 78313.

LCM(78304,78313) = 2⁵ × 2447¹ × 71¹ × 1103¹
LCM(78304,78313) = 6132221152