What is the Least Common Multiple of 16578 and 16584?

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 16584 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 16584, than apply into the LCM equation.

GCF(16578,16584) = 6
LCM(16578,16584) = ( 16578 × 16584) / 6
LCM(16578,16584) = 274929552 / 6
LCM(16578,16584) = 45821592

Least Common Multiple (LCM) of 16578 and 16584 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16578 and 16584. First we will calculate the prime factors of 16578 and 16584.

Prime Factorization of 16578

Prime Factorization of 16584

Now multiplying the highest exponent prime factors to calculate the LCM of 16578 and 16584.

LCM(16578,16584) = 2³ × 3³ × 307¹ × 691¹
LCM(16578,16584) = 45821592