What is the Least Common Multiple of 78039 and 78048?

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 78039 and 78048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78039 and 78048, than apply into the LCM equation.

GCF(78039,78048) = 9
LCM(78039,78048) = ( 78039 × 78048) / 9
LCM(78039,78048) = 6090787872 / 9
LCM(78039,78048) = 676754208

Least Common Multiple (LCM) of 78039 and 78048 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78039 and 78048. First we will calculate the prime factors of 78039 and 78048.

Prime Factorization of 78039

Prime Factorization of 78048

Now multiplying the highest exponent prime factors to calculate the LCM of 78039 and 78048.

LCM(78039,78048) = 3² × 13¹ × 23¹ × 29¹ × 2⁵ × 271¹
LCM(78039,78048) = 676754208