What is the Least Common Multiple of 16565 and 16580?

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 16565 and 16580 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16565 and 16580, than apply into the LCM equation.

GCF(16565,16580) = 5
LCM(16565,16580) = ( 16565 × 16580) / 5
LCM(16565,16580) = 274647700 / 5
LCM(16565,16580) = 54929540

Least Common Multiple (LCM) of 16565 and 16580 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16565 and 16580. First we will calculate the prime factors of 16565 and 16580.

Prime Factorization of 16565

Prime Factorization of 16580

Now multiplying the highest exponent prime factors to calculate the LCM of 16565 and 16580.

LCM(16565,16580) = 5¹ × 3313¹ × 2² × 829¹
LCM(16565,16580) = 54929540