What is the Least Common Multiple of 90486 and 90496?

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 90486 and 90496 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90486 and 90496, than apply into the LCM equation.

GCF(90486,90496) = 2
LCM(90486,90496) = ( 90486 × 90496) / 2
LCM(90486,90496) = 8188621056 / 2
LCM(90486,90496) = 4094310528

Least Common Multiple (LCM) of 90486 and 90496 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90486 and 90496. First we will calculate the prime factors of 90486 and 90496.

Prime Factorization of 90486

Prime Factorization of 90496

Now multiplying the highest exponent prime factors to calculate the LCM of 90486 and 90496.

LCM(90486,90496) = 2⁷ × 3² × 11¹ × 457¹ × 7¹ × 101¹
LCM(90486,90496) = 4094310528