What is the Least Common Multiple of 58230 and 58245?

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 58230 and 58245 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58230 and 58245, than apply into the LCM equation.

GCF(58230,58245) = 15
LCM(58230,58245) = ( 58230 × 58245) / 15
LCM(58230,58245) = 3391606350 / 15
LCM(58230,58245) = 226107090

Least Common Multiple (LCM) of 58230 and 58245 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58230 and 58245. First we will calculate the prime factors of 58230 and 58245.

Prime Factorization of 58230

Prime Factorization of 58245

Now multiplying the highest exponent prime factors to calculate the LCM of 58230 and 58245.

LCM(58230,58245) = 2¹ × 3² × 5¹ × 647¹ × 11¹ × 353¹
LCM(58230,58245) = 226107090