What is the Least Common Multiple of 78768 and 78784?

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 78784 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 78784, than apply into the LCM equation.

GCF(78768,78784) = 16
LCM(78768,78784) = ( 78768 × 78784) / 16
LCM(78768,78784) = 6205658112 / 16
LCM(78768,78784) = 387853632

Least Common Multiple (LCM) of 78768 and 78784 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78768 and 78784. First we will calculate the prime factors of 78768 and 78784.

Prime Factorization of 78768

Prime Factorization of 78784

Now multiplying the highest exponent prime factors to calculate the LCM of 78768 and 78784.

LCM(78768,78784) = 2⁶ × 3² × 547¹ × 1231¹
LCM(78768,78784) = 387853632