What is the Least Common Multiple of 58104 and 58116?

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 58104 and 58116 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58104 and 58116, than apply into the LCM equation.

GCF(58104,58116) = 12
LCM(58104,58116) = ( 58104 × 58116) / 12
LCM(58104,58116) = 3376772064 / 12
LCM(58104,58116) = 281397672

Least Common Multiple (LCM) of 58104 and 58116 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58104 and 58116. First we will calculate the prime factors of 58104 and 58116.

Prime Factorization of 58104

Prime Factorization of 58116

Now multiplying the highest exponent prime factors to calculate the LCM of 58104 and 58116.

LCM(58104,58116) = 2³ × 3³ × 269¹ × 29¹ × 167¹
LCM(58104,58116) = 281397672