What is the Least Common Multiple of 88547 and 88566?

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 88547 and 88566 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88547 and 88566, than apply into the LCM equation.

GCF(88547,88566) = 1
LCM(88547,88566) = ( 88547 × 88566) / 1
LCM(88547,88566) = 7842253602 / 1
LCM(88547,88566) = 7842253602

Least Common Multiple (LCM) of 88547 and 88566 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88547 and 88566. First we will calculate the prime factors of 88547 and 88566.

Prime Factorization of 88547

Prime Factorization of 88566

Now multiplying the highest exponent prime factors to calculate the LCM of 88547 and 88566.

LCM(88547,88566) = 88547¹ × 2¹ × 3¹ × 29¹ × 509¹
LCM(88547,88566) = 7842253602