What is the Least Common Multiple of 16578 and 16594?

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 16578 and 16594 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16578 and 16594, than apply into the LCM equation.

GCF(16578,16594) = 2
LCM(16578,16594) = ( 16578 × 16594) / 2
LCM(16578,16594) = 275095332 / 2
LCM(16578,16594) = 137547666

Least Common Multiple (LCM) of 16578 and 16594 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16578 and 16594. First we will calculate the prime factors of 16578 and 16594.

Prime Factorization of 16578

Prime Factorization of 16594

Now multiplying the highest exponent prime factors to calculate the LCM of 16578 and 16594.

LCM(16578,16594) = 2¹ × 3³ × 307¹ × 8297¹
LCM(16578,16594) = 137547666