What is the Least Common Multiple of 14550 and 14564?

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 14564 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 14564, than apply into the LCM equation.

GCF(14550,14564) = 2
LCM(14550,14564) = ( 14550 × 14564) / 2
LCM(14550,14564) = 211906200 / 2
LCM(14550,14564) = 105953100

Least Common Multiple (LCM) of 14550 and 14564 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14550 and 14564. First we will calculate the prime factors of 14550 and 14564.

Prime Factorization of 14550

Prime Factorization of 14564

Now multiplying the highest exponent prime factors to calculate the LCM of 14550 and 14564.

LCM(14550,14564) = 2² × 3¹ × 5² × 97¹ × 11¹ × 331¹
LCM(14550,14564) = 105953100