What is the Least Common Multiple of 90805 and 90825?

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 90805 and 90825 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90805 and 90825, than apply into the LCM equation.

GCF(90805,90825) = 5
LCM(90805,90825) = ( 90805 × 90825) / 5
LCM(90805,90825) = 8247364125 / 5
LCM(90805,90825) = 1649472825

Least Common Multiple (LCM) of 90805 and 90825 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90805 and 90825. First we will calculate the prime factors of 90805 and 90825.

Prime Factorization of 90805

Prime Factorization of 90825

Now multiplying the highest exponent prime factors to calculate the LCM of 90805 and 90825.

LCM(90805,90825) = 5² × 11¹ × 13¹ × 127¹ × 3¹ × 7¹ × 173¹
LCM(90805,90825) = 1649472825