What is the Least Common Multiple of 16578 and 16582?

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 16582 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 16582, than apply into the LCM equation.

GCF(16578,16582) = 2
LCM(16578,16582) = ( 16578 × 16582) / 2
LCM(16578,16582) = 274896396 / 2
LCM(16578,16582) = 137448198

Least Common Multiple (LCM) of 16578 and 16582 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16578 and 16582. First we will calculate the prime factors of 16578 and 16582.

Prime Factorization of 16578

Prime Factorization of 16582

Now multiplying the highest exponent prime factors to calculate the LCM of 16578 and 16582.

LCM(16578,16582) = 2¹ × 3³ × 307¹ × 8291¹
LCM(16578,16582) = 137448198