What is the Least Common Multiple of 14550 and 14566?

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 14550 and 14566 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14550 and 14566, than apply into the LCM equation.

GCF(14550,14566) = 2
LCM(14550,14566) = ( 14550 × 14566) / 2
LCM(14550,14566) = 211935300 / 2
LCM(14550,14566) = 105967650

Least Common Multiple (LCM) of 14550 and 14566 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14550 and 14566. First we will calculate the prime factors of 14550 and 14566.

Prime Factorization of 14550

Prime Factorization of 14566

Now multiplying the highest exponent prime factors to calculate the LCM of 14550 and 14566.

LCM(14550,14566) = 2¹ × 3¹ × 5² × 97¹ × 7283¹
LCM(14550,14566) = 105967650