What is the Least Common Multiple of 23025 and 23035?

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 23035 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 23035, than apply into the LCM equation.

GCF(23025,23035) = 5
LCM(23025,23035) = ( 23025 × 23035) / 5
LCM(23025,23035) = 530380875 / 5
LCM(23025,23035) = 106076175

Least Common Multiple (LCM) of 23025 and 23035 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23025 and 23035. First we will calculate the prime factors of 23025 and 23035.

Prime Factorization of 23025

Prime Factorization of 23035

Now multiplying the highest exponent prime factors to calculate the LCM of 23025 and 23035.

LCM(23025,23035) = 3¹ × 5² × 307¹ × 17¹ × 271¹
LCM(23025,23035) = 106076175