What is the Least Common Multiple of 58284 and 58296?

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 58284 and 58296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58284 and 58296, than apply into the LCM equation.

GCF(58284,58296) = 12
LCM(58284,58296) = ( 58284 × 58296) / 12
LCM(58284,58296) = 3397724064 / 12
LCM(58284,58296) = 283143672

Least Common Multiple (LCM) of 58284 and 58296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58284 and 58296. First we will calculate the prime factors of 58284 and 58296.

Prime Factorization of 58284

Prime Factorization of 58296

Now multiplying the highest exponent prime factors to calculate the LCM of 58284 and 58296.

LCM(58284,58296) = 2³ × 3² × 1619¹ × 7¹ × 347¹
LCM(58284,58296) = 283143672