What is the Least Common Multiple of 23547 and 23566?

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 23547 and 23566 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23547 and 23566, than apply into the LCM equation.

GCF(23547,23566) = 1
LCM(23547,23566) = ( 23547 × 23566) / 1
LCM(23547,23566) = 554908602 / 1
LCM(23547,23566) = 554908602

Least Common Multiple (LCM) of 23547 and 23566 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23547 and 23566. First we will calculate the prime factors of 23547 and 23566.

Prime Factorization of 23547

Prime Factorization of 23566

Now multiplying the highest exponent prime factors to calculate the LCM of 23547 and 23566.

LCM(23547,23566) = 3¹ × 47¹ × 167¹ × 2¹ × 11783¹
LCM(23547,23566) = 554908602