What is the Least Common Multiple of 90864 and 90880?

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 90864 and 90880 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90864 and 90880, than apply into the LCM equation.

GCF(90864,90880) = 16
LCM(90864,90880) = ( 90864 × 90880) / 16
LCM(90864,90880) = 8257720320 / 16
LCM(90864,90880) = 516107520

Least Common Multiple (LCM) of 90864 and 90880 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90864 and 90880. First we will calculate the prime factors of 90864 and 90880.

Prime Factorization of 90864

Prime Factorization of 90880

Now multiplying the highest exponent prime factors to calculate the LCM of 90864 and 90880.

LCM(90864,90880) = 2⁸ × 3² × 631¹ × 5¹ × 71¹
LCM(90864,90880) = 516107520