What is the Least Common Multiple of 8805 and 8824?

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 8824 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 8824, than apply into the LCM equation.

GCF(8805,8824) = 1
LCM(8805,8824) = ( 8805 × 8824) / 1
LCM(8805,8824) = 77695320 / 1
LCM(8805,8824) = 77695320

Least Common Multiple (LCM) of 8805 and 8824 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8805 and 8824. First we will calculate the prime factors of 8805 and 8824.

Prime Factorization of 8805

Prime Factorization of 8824

Now multiplying the highest exponent prime factors to calculate the LCM of 8805 and 8824.

LCM(8805,8824) = 3¹ × 5¹ × 587¹ × 2³ × 1103¹
LCM(8805,8824) = 77695320