What is the Least Common Multiple of 88809 and 88815?

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 88809 and 88815 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88809 and 88815, than apply into the LCM equation.

GCF(88809,88815) = 3
LCM(88809,88815) = ( 88809 × 88815) / 3
LCM(88809,88815) = 7887571335 / 3
LCM(88809,88815) = 2629190445

Least Common Multiple (LCM) of 88809 and 88815 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88809 and 88815. First we will calculate the prime factors of 88809 and 88815.

Prime Factorization of 88809

Prime Factorization of 88815

Now multiplying the highest exponent prime factors to calculate the LCM of 88809 and 88815.

LCM(88809,88815) = 3¹ × 7¹ × 4229¹ × 5¹ × 31¹ × 191¹
LCM(88809,88815) = 2629190445