What is the Least Common Multiple of 58296 and 58305?

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 58296 and 58305 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58296 and 58305, than apply into the LCM equation.

GCF(58296,58305) = 3
LCM(58296,58305) = ( 58296 × 58305) / 3
LCM(58296,58305) = 3398948280 / 3
LCM(58296,58305) = 1132982760

Least Common Multiple (LCM) of 58296 and 58305 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58296 and 58305. First we will calculate the prime factors of 58296 and 58305.

Prime Factorization of 58296

Prime Factorization of 58305

Now multiplying the highest exponent prime factors to calculate the LCM of 58296 and 58305.

LCM(58296,58305) = 2³ × 3¹ × 7¹ × 347¹ × 5¹ × 13² × 23¹
LCM(58296,58305) = 1132982760