What is the Least Common Multiple of 8546 and 8566?

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 8546 and 8566 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8546 and 8566, than apply into the LCM equation.

GCF(8546,8566) = 2
LCM(8546,8566) = ( 8546 × 8566) / 2
LCM(8546,8566) = 73205036 / 2
LCM(8546,8566) = 36602518

Least Common Multiple (LCM) of 8546 and 8566 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8546 and 8566. First we will calculate the prime factors of 8546 and 8566.

Prime Factorization of 8546

Prime Factorization of 8566

Now multiplying the highest exponent prime factors to calculate the LCM of 8546 and 8566.

LCM(8546,8566) = 2¹ × 4273¹ × 4283¹
LCM(8546,8566) = 36602518