What is the Least Common Multiple of 14578 and 14582?

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 14578 and 14582 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14578 and 14582, than apply into the LCM equation.

GCF(14578,14582) = 2
LCM(14578,14582) = ( 14578 × 14582) / 2
LCM(14578,14582) = 212576396 / 2
LCM(14578,14582) = 106288198

Least Common Multiple (LCM) of 14578 and 14582 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14578 and 14582. First we will calculate the prime factors of 14578 and 14582.

Prime Factorization of 14578

Prime Factorization of 14582

Now multiplying the highest exponent prime factors to calculate the LCM of 14578 and 14582.

LCM(14578,14582) = 2¹ × 37¹ × 197¹ × 23¹ × 317¹
LCM(14578,14582) = 106288198