What is the Least Common Multiple of 16564 and 16583?

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 16564 and 16583 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16564 and 16583, than apply into the LCM equation.

GCF(16564,16583) = 1
LCM(16564,16583) = ( 16564 × 16583) / 1
LCM(16564,16583) = 274680812 / 1
LCM(16564,16583) = 274680812

Least Common Multiple (LCM) of 16564 and 16583 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16564 and 16583. First we will calculate the prime factors of 16564 and 16583.

Prime Factorization of 16564

Prime Factorization of 16583

Now multiplying the highest exponent prime factors to calculate the LCM of 16564 and 16583.

LCM(16564,16583) = 2² × 41¹ × 101¹ × 7¹ × 23¹ × 103¹
LCM(16564,16583) = 274680812