What is the Least Common Multiple of 58404 and 58408?

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 58404 and 58408 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58404 and 58408, than apply into the LCM equation.

GCF(58404,58408) = 4
LCM(58404,58408) = ( 58404 × 58408) / 4
LCM(58404,58408) = 3411260832 / 4
LCM(58404,58408) = 852815208

Least Common Multiple (LCM) of 58404 and 58408 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58404 and 58408. First we will calculate the prime factors of 58404 and 58408.

Prime Factorization of 58404

Prime Factorization of 58408

Now multiplying the highest exponent prime factors to calculate the LCM of 58404 and 58408.

LCM(58404,58408) = 2³ × 3¹ × 31¹ × 157¹ × 7² × 149¹
LCM(58404,58408) = 852815208