What is the Least Common Multiple of 23025 and 23030?

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 23025 and 23030 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23025 and 23030, than apply into the LCM equation.

GCF(23025,23030) = 5
LCM(23025,23030) = ( 23025 × 23030) / 5
LCM(23025,23030) = 530265750 / 5
LCM(23025,23030) = 106053150

Least Common Multiple (LCM) of 23025 and 23030 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23025 and 23030. First we will calculate the prime factors of 23025 and 23030.

Prime Factorization of 23025

Prime Factorization of 23030

Now multiplying the highest exponent prime factors to calculate the LCM of 23025 and 23030.

LCM(23025,23030) = 3¹ × 5² × 307¹ × 2¹ × 7² × 47¹
LCM(23025,23030) = 106053150