What is the Least Common Multiple of 35548 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 35548 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 35548 and 35566, than apply into the LCM equation.

GCF(35548,35566) = 2
LCM(35548,35566) = ( 35548 × 35566) / 2
LCM(35548,35566) = 1264300168 / 2
LCM(35548,35566) = 632150084

Least Common Multiple (LCM) of 35548 and 35566 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35548 and 35566. First we will calculate the prime factors of 35548 and 35566.

Prime Factorization of 35548

Prime Factorization of 35566

Now multiplying the highest exponent prime factors to calculate the LCM of 35548 and 35566.

LCM(35548,35566) = 2² × 8887¹ × 17783¹
LCM(35548,35566) = 632150084