What is the Least Common Multiple of 78256 and 78272?

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 78272 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 78272, than apply into the LCM equation.

GCF(78256,78272) = 16
LCM(78256,78272) = ( 78256 × 78272) / 16
LCM(78256,78272) = 6125253632 / 16
LCM(78256,78272) = 382828352

Least Common Multiple (LCM) of 78256 and 78272 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78256 and 78272. First we will calculate the prime factors of 78256 and 78272.

Prime Factorization of 78256

Prime Factorization of 78272

Now multiplying the highest exponent prime factors to calculate the LCM of 78256 and 78272.

LCM(78256,78272) = 2⁶ × 67¹ × 73¹ × 1223¹
LCM(78256,78272) = 382828352