What is the Least Common Multiple of 88599 and 88611?

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 88599 and 88611 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88599 and 88611, than apply into the LCM equation.

GCF(88599,88611) = 3
LCM(88599,88611) = ( 88599 × 88611) / 3
LCM(88599,88611) = 7850845989 / 3
LCM(88599,88611) = 2616948663

Least Common Multiple (LCM) of 88599 and 88611 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88599 and 88611. First we will calculate the prime factors of 88599 and 88611.

Prime Factorization of 88599

Prime Factorization of 88611

Now multiplying the highest exponent prime factors to calculate the LCM of 88599 and 88611.

LCM(88599,88611) = 3¹ × 7¹ × 4219¹ × 29537¹
LCM(88599,88611) = 2616948663