What is the Least Common Multiple of 58245 and 58260?

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 58245 and 58260 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58245 and 58260, than apply into the LCM equation.

GCF(58245,58260) = 15
LCM(58245,58260) = ( 58245 × 58260) / 15
LCM(58245,58260) = 3393353700 / 15
LCM(58245,58260) = 226223580

Least Common Multiple (LCM) of 58245 and 58260 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58245 and 58260. First we will calculate the prime factors of 58245 and 58260.

Prime Factorization of 58245

Prime Factorization of 58260

Now multiplying the highest exponent prime factors to calculate the LCM of 58245 and 58260.

LCM(58245,58260) = 3¹ × 5¹ × 11¹ × 353¹ × 2² × 971¹
LCM(58245,58260) = 226223580