What is the Least Common Multiple of 48225 and 48230?

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 48225 and 48230 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48225 and 48230, than apply into the LCM equation.

GCF(48225,48230) = 5
LCM(48225,48230) = ( 48225 × 48230) / 5
LCM(48225,48230) = 2325891750 / 5
LCM(48225,48230) = 465178350

Least Common Multiple (LCM) of 48225 and 48230 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48225 and 48230. First we will calculate the prime factors of 48225 and 48230.

Prime Factorization of 48225

Prime Factorization of 48230

Now multiplying the highest exponent prime factors to calculate the LCM of 48225 and 48230.

LCM(48225,48230) = 3¹ × 5² × 643¹ × 2¹ × 7¹ × 13¹ × 53¹
LCM(48225,48230) = 465178350