What is the Least Common Multiple of 8799 and 8805?

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 8799 and 8805 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8799 and 8805, than apply into the LCM equation.

GCF(8799,8805) = 3
LCM(8799,8805) = ( 8799 × 8805) / 3
LCM(8799,8805) = 77475195 / 3
LCM(8799,8805) = 25825065

Least Common Multiple (LCM) of 8799 and 8805 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8799 and 8805. First we will calculate the prime factors of 8799 and 8805.

Prime Factorization of 8799

Prime Factorization of 8805

Now multiplying the highest exponent prime factors to calculate the LCM of 8799 and 8805.

LCM(8799,8805) = 3¹ × 7¹ × 419¹ × 5¹ × 587¹
LCM(8799,8805) = 25825065