What is the Least Common Multiple of 90880 and 90895?

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 90880 and 90895 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90880 and 90895, than apply into the LCM equation.

GCF(90880,90895) = 5
LCM(90880,90895) = ( 90880 × 90895) / 5
LCM(90880,90895) = 8260537600 / 5
LCM(90880,90895) = 1652107520

Least Common Multiple (LCM) of 90880 and 90895 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90880 and 90895. First we will calculate the prime factors of 90880 and 90895.

Prime Factorization of 90880

Prime Factorization of 90895

Now multiplying the highest exponent prime factors to calculate the LCM of 90880 and 90895.

LCM(90880,90895) = 2⁸ × 5¹ × 71¹ × 7³ × 53¹
LCM(90880,90895) = 1652107520