What is the Least Common Multiple of 58474 and 58478?

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 58474 and 58478 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58474 and 58478, than apply into the LCM equation.

GCF(58474,58478) = 2
LCM(58474,58478) = ( 58474 × 58478) / 2
LCM(58474,58478) = 3419442572 / 2
LCM(58474,58478) = 1709721286

Least Common Multiple (LCM) of 58474 and 58478 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58474 and 58478. First we will calculate the prime factors of 58474 and 58478.

Prime Factorization of 58474

Prime Factorization of 58478

Now multiplying the highest exponent prime factors to calculate the LCM of 58474 and 58478.

LCM(58474,58478) = 2¹ × 13² × 173¹ × 7¹ × 4177¹
LCM(58474,58478) = 1709721286