What is the Least Common Multiple of 89805 and 89825?

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 89805 and 89825 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89805 and 89825, than apply into the LCM equation.

GCF(89805,89825) = 5
LCM(89805,89825) = ( 89805 × 89825) / 5
LCM(89805,89825) = 8066734125 / 5
LCM(89805,89825) = 1613346825

Least Common Multiple (LCM) of 89805 and 89825 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89805 and 89825. First we will calculate the prime factors of 89805 and 89825.

Prime Factorization of 89805

Prime Factorization of 89825

Now multiplying the highest exponent prime factors to calculate the LCM of 89805 and 89825.

LCM(89805,89825) = 3¹ × 5² × 5987¹ × 3593¹
LCM(89805,89825) = 1613346825