What is the Least Common Multiple of 58275 and 58290?

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 58275 and 58290 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58275 and 58290, than apply into the LCM equation.

GCF(58275,58290) = 15
LCM(58275,58290) = ( 58275 × 58290) / 15
LCM(58275,58290) = 3396849750 / 15
LCM(58275,58290) = 226456650

Least Common Multiple (LCM) of 58275 and 58290 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58275 and 58290. First we will calculate the prime factors of 58275 and 58290.

Prime Factorization of 58275

Prime Factorization of 58290

Now multiplying the highest exponent prime factors to calculate the LCM of 58275 and 58290.

LCM(58275,58290) = 3² × 5² × 7¹ × 37¹ × 2¹ × 29¹ × 67¹
LCM(58275,58290) = 226456650