What is the Least Common Multiple of 90248 and 90256?

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 90248 and 90256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90248 and 90256, than apply into the LCM equation.

GCF(90248,90256) = 8
LCM(90248,90256) = ( 90248 × 90256) / 8
LCM(90248,90256) = 8145423488 / 8
LCM(90248,90256) = 1018177936

Least Common Multiple (LCM) of 90248 and 90256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90248 and 90256. First we will calculate the prime factors of 90248 and 90256.

Prime Factorization of 90248

Prime Factorization of 90256

Now multiplying the highest exponent prime factors to calculate the LCM of 90248 and 90256.

LCM(90248,90256) = 2⁴ × 29¹ × 389¹ × 5641¹
LCM(90248,90256) = 1018177936