What is the Least Common Multiple of 78768 and 78788?

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 78768 and 78788 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78768 and 78788, than apply into the LCM equation.

GCF(78768,78788) = 4
LCM(78768,78788) = ( 78768 × 78788) / 4
LCM(78768,78788) = 6205973184 / 4
LCM(78768,78788) = 1551493296

Least Common Multiple (LCM) of 78768 and 78788 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78768 and 78788. First we will calculate the prime factors of 78768 and 78788.

Prime Factorization of 78768

Prime Factorization of 78788

Now multiplying the highest exponent prime factors to calculate the LCM of 78768 and 78788.

LCM(78768,78788) = 2⁴ × 3² × 547¹ × 19697¹
LCM(78768,78788) = 1551493296