What is the Least Common Multiple of 78768 and 78782?

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 78782 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 78782, than apply into the LCM equation.

GCF(78768,78782) = 2
LCM(78768,78782) = ( 78768 × 78782) / 2
LCM(78768,78782) = 6205500576 / 2
LCM(78768,78782) = 3102750288

Least Common Multiple (LCM) of 78768 and 78782 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78768 and 78782. First we will calculate the prime factors of 78768 and 78782.

Prime Factorization of 78768

Prime Factorization of 78782

Now multiplying the highest exponent prime factors to calculate the LCM of 78768 and 78782.

LCM(78768,78782) = 2⁴ × 3² × 547¹ × 11¹ × 3581¹
LCM(78768,78782) = 3102750288