What is the Least Common Multiple of 35547 and 35566?

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 35547 and 35566 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35547 and 35566, than apply into the LCM equation.

GCF(35547,35566) = 1
LCM(35547,35566) = ( 35547 × 35566) / 1
LCM(35547,35566) = 1264264602 / 1
LCM(35547,35566) = 1264264602

Least Common Multiple (LCM) of 35547 and 35566 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35547 and 35566. First we will calculate the prime factors of 35547 and 35566.

Prime Factorization of 35547

Prime Factorization of 35566

Now multiplying the highest exponent prime factors to calculate the LCM of 35547 and 35566.

LCM(35547,35566) = 3¹ × 17² × 41¹ × 2¹ × 17783¹
LCM(35547,35566) = 1264264602