What is the Least Common Multiple of 76256 and 76268?

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 76256 and 76268 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76256 and 76268, than apply into the LCM equation.

GCF(76256,76268) = 4
LCM(76256,76268) = ( 76256 × 76268) / 4
LCM(76256,76268) = 5815892608 / 4
LCM(76256,76268) = 1453973152

Least Common Multiple (LCM) of 76256 and 76268 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76256 and 76268. First we will calculate the prime factors of 76256 and 76268.

Prime Factorization of 76256

Prime Factorization of 76268

Now multiplying the highest exponent prime factors to calculate the LCM of 76256 and 76268.

LCM(76256,76268) = 2⁵ × 2383¹ × 23¹ × 829¹
LCM(76256,76268) = 1453973152