What is the Least Common Multiple of 2805 and 2825?

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 2805 and 2825 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2805 and 2825, than apply into the LCM equation.

GCF(2805,2825) = 5
LCM(2805,2825) = ( 2805 × 2825) / 5
LCM(2805,2825) = 7924125 / 5
LCM(2805,2825) = 1584825

Least Common Multiple (LCM) of 2805 and 2825 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2805 and 2825. First we will calculate the prime factors of 2805 and 2825.

Prime Factorization of 2805

Prime Factorization of 2825

Now multiplying the highest exponent prime factors to calculate the LCM of 2805 and 2825.

LCM(2805,2825) = 3¹ × 5² × 11¹ × 17¹ × 113¹
LCM(2805,2825) = 1584825