What is the Least Common Multiple of 78756 and 78768?

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 78756 and 78768 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78756 and 78768, than apply into the LCM equation.

GCF(78756,78768) = 12
LCM(78756,78768) = ( 78756 × 78768) / 12
LCM(78756,78768) = 6203452608 / 12
LCM(78756,78768) = 516954384

Least Common Multiple (LCM) of 78756 and 78768 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78756 and 78768. First we will calculate the prime factors of 78756 and 78768.

Prime Factorization of 78756

Prime Factorization of 78768

Now multiplying the highest exponent prime factors to calculate the LCM of 78756 and 78768.

LCM(78756,78768) = 2⁴ × 3² × 6563¹ × 547¹
LCM(78756,78768) = 516954384