What is the Least Common Multiple of 58472 and 58482?

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 58472 and 58482 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58472 and 58482, than apply into the LCM equation.

GCF(58472,58482) = 2
LCM(58472,58482) = ( 58472 × 58482) / 2
LCM(58472,58482) = 3419559504 / 2
LCM(58472,58482) = 1709779752

Least Common Multiple (LCM) of 58472 and 58482 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58472 and 58482. First we will calculate the prime factors of 58472 and 58482.

Prime Factorization of 58472

Prime Factorization of 58482

Now multiplying the highest exponent prime factors to calculate the LCM of 58472 and 58482.

LCM(58472,58482) = 2³ × 7309¹ × 3⁴ × 19²
LCM(58472,58482) = 1709779752