What is the Least Common Multiple of 58176 and 58182?

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 58182 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 58182, than apply into the LCM equation.

GCF(58176,58182) = 6
LCM(58176,58182) = ( 58176 × 58182) / 6
LCM(58176,58182) = 3384796032 / 6
LCM(58176,58182) = 564132672

Least Common Multiple (LCM) of 58176 and 58182 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58176 and 58182. First we will calculate the prime factors of 58176 and 58182.

Prime Factorization of 58176

Prime Factorization of 58182

Now multiplying the highest exponent prime factors to calculate the LCM of 58176 and 58182.

LCM(58176,58182) = 2⁶ × 3² × 101¹ × 9697¹
LCM(58176,58182) = 564132672