What is the Least Common Multiple of 58176 and 58186?

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 58176 and 58186 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58176 and 58186, than apply into the LCM equation.

GCF(58176,58186) = 2
LCM(58176,58186) = ( 58176 × 58186) / 2
LCM(58176,58186) = 3385028736 / 2
LCM(58176,58186) = 1692514368

Least Common Multiple (LCM) of 58176 and 58186 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58176 and 58186. First we will calculate the prime factors of 58176 and 58186.

Prime Factorization of 58176

Prime Factorization of 58186

Now multiplying the highest exponent prime factors to calculate the LCM of 58176 and 58186.

LCM(58176,58186) = 2⁶ × 3² × 101¹ × 47¹ × 619¹
LCM(58176,58186) = 1692514368