What is the Least Common Multiple of 90504 and 90512?

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 90504 and 90512 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90504 and 90512, than apply into the LCM equation.

GCF(90504,90512) = 8
LCM(90504,90512) = ( 90504 × 90512) / 8
LCM(90504,90512) = 8191698048 / 8
LCM(90504,90512) = 1023962256

Least Common Multiple (LCM) of 90504 and 90512 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90504 and 90512. First we will calculate the prime factors of 90504 and 90512.

Prime Factorization of 90504

Prime Factorization of 90512

Now multiplying the highest exponent prime factors to calculate the LCM of 90504 and 90512.

LCM(90504,90512) = 2⁴ × 3³ × 419¹ × 5657¹
LCM(90504,90512) = 1023962256