What is the Least Common Multiple of 72256 and 72268?

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 72256 and 72268 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72256 and 72268, than apply into the LCM equation.

GCF(72256,72268) = 4
LCM(72256,72268) = ( 72256 × 72268) / 4
LCM(72256,72268) = 5221796608 / 4
LCM(72256,72268) = 1305449152

Least Common Multiple (LCM) of 72256 and 72268 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72256 and 72268. First we will calculate the prime factors of 72256 and 72268.

Prime Factorization of 72256

Prime Factorization of 72268

Now multiplying the highest exponent prime factors to calculate the LCM of 72256 and 72268.

LCM(72256,72268) = 2⁶ × 1129¹ × 7¹ × 29¹ × 89¹
LCM(72256,72268) = 1305449152