What is the Least Common Multiple of 78888 and 78896?

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 78888 and 78896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78888 and 78896, than apply into the LCM equation.

GCF(78888,78896) = 8
LCM(78888,78896) = ( 78888 × 78896) / 8
LCM(78888,78896) = 6223947648 / 8
LCM(78888,78896) = 777993456

Least Common Multiple (LCM) of 78888 and 78896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78888 and 78896. First we will calculate the prime factors of 78888 and 78896.

Prime Factorization of 78888

Prime Factorization of 78896

Now multiplying the highest exponent prime factors to calculate the LCM of 78888 and 78896.

LCM(78888,78896) = 2⁴ × 3¹ × 19¹ × 173¹ × 4931¹
LCM(78888,78896) = 777993456