What is the Least Common Multiple of 78256 and 78276?

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 78256 and 78276 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78256 and 78276, than apply into the LCM equation.

GCF(78256,78276) = 4
LCM(78256,78276) = ( 78256 × 78276) / 4
LCM(78256,78276) = 6125566656 / 4
LCM(78256,78276) = 1531391664

Least Common Multiple (LCM) of 78256 and 78276 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78256 and 78276. First we will calculate the prime factors of 78256 and 78276.

Prime Factorization of 78256

Prime Factorization of 78276

Now multiplying the highest exponent prime factors to calculate the LCM of 78256 and 78276.

LCM(78256,78276) = 2⁴ × 67¹ × 73¹ × 3¹ × 11¹ × 593¹
LCM(78256,78276) = 1531391664