What is the Least Common Multiple of 58401 and 58416?

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 58401 and 58416 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58401 and 58416, than apply into the LCM equation.

GCF(58401,58416) = 3
LCM(58401,58416) = ( 58401 × 58416) / 3
LCM(58401,58416) = 3411552816 / 3
LCM(58401,58416) = 1137184272

Least Common Multiple (LCM) of 58401 and 58416 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58401 and 58416. First we will calculate the prime factors of 58401 and 58416.

Prime Factorization of 58401

Prime Factorization of 58416

Now multiplying the highest exponent prime factors to calculate the LCM of 58401 and 58416.

LCM(58401,58416) = 3⁴ × 7¹ × 103¹ × 2⁴ × 1217¹
LCM(58401,58416) = 1137184272