What is the Least Common Multiple of 78768 and 78774?

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 78774 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 78774, than apply into the LCM equation.

GCF(78768,78774) = 6
LCM(78768,78774) = ( 78768 × 78774) / 6
LCM(78768,78774) = 6204870432 / 6
LCM(78768,78774) = 1034145072

Least Common Multiple (LCM) of 78768 and 78774 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78768 and 78774. First we will calculate the prime factors of 78768 and 78774.

Prime Factorization of 78768

Prime Factorization of 78774

Now multiplying the highest exponent prime factors to calculate the LCM of 78768 and 78774.

LCM(78768,78774) = 2⁴ × 3² × 547¹ × 19¹ × 691¹
LCM(78768,78774) = 1034145072