What is the Least Common Multiple of 8805 and 8823?

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 8805 and 8823 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8805 and 8823, than apply into the LCM equation.

GCF(8805,8823) = 3
LCM(8805,8823) = ( 8805 × 8823) / 3
LCM(8805,8823) = 77686515 / 3
LCM(8805,8823) = 25895505

Least Common Multiple (LCM) of 8805 and 8823 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8805 and 8823. First we will calculate the prime factors of 8805 and 8823.

Prime Factorization of 8805

Prime Factorization of 8823

Now multiplying the highest exponent prime factors to calculate the LCM of 8805 and 8823.

LCM(8805,8823) = 3¹ × 5¹ × 587¹ × 17¹ × 173¹
LCM(8805,8823) = 25895505