What is the Least Common Multiple of 58260 and 58275?

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 58260 and 58275 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58260 and 58275, than apply into the LCM equation.

GCF(58260,58275) = 15
LCM(58260,58275) = ( 58260 × 58275) / 15
LCM(58260,58275) = 3395101500 / 15
LCM(58260,58275) = 226340100

Least Common Multiple (LCM) of 58260 and 58275 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58260 and 58275. First we will calculate the prime factors of 58260 and 58275.

Prime Factorization of 58260

Prime Factorization of 58275

Now multiplying the highest exponent prime factors to calculate the LCM of 58260 and 58275.

LCM(58260,58275) = 2² × 3² × 5² × 971¹ × 7¹ × 37¹
LCM(58260,58275) = 226340100