What is the Least Common Multiple of 58384 and 58404?

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 58384 and 58404 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58384 and 58404, than apply into the LCM equation.

GCF(58384,58404) = 4
LCM(58384,58404) = ( 58384 × 58404) / 4
LCM(58384,58404) = 3409859136 / 4
LCM(58384,58404) = 852464784

Least Common Multiple (LCM) of 58384 and 58404 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58384 and 58404. First we will calculate the prime factors of 58384 and 58404.

Prime Factorization of 58384

Prime Factorization of 58404

Now multiplying the highest exponent prime factors to calculate the LCM of 58384 and 58404.

LCM(58384,58404) = 2⁴ × 41¹ × 89¹ × 3¹ × 31¹ × 157¹
LCM(58384,58404) = 852464784