What is the Least Common Multiple of 58176 and 58194?

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 58194 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 58194, than apply into the LCM equation.

GCF(58176,58194) = 18
LCM(58176,58194) = ( 58176 × 58194) / 18
LCM(58176,58194) = 3385494144 / 18
LCM(58176,58194) = 188083008

Least Common Multiple (LCM) of 58176 and 58194 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58176 and 58194. First we will calculate the prime factors of 58176 and 58194.

Prime Factorization of 58176

Prime Factorization of 58194

Now multiplying the highest exponent prime factors to calculate the LCM of 58176 and 58194.

LCM(58176,58194) = 2⁶ × 3² × 101¹ × 53¹ × 61¹
LCM(58176,58194) = 188083008