What is the Least Common Multiple of 95025 and 95035?

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 95025 and 95035 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95025 and 95035, than apply into the LCM equation.

GCF(95025,95035) = 5
LCM(95025,95035) = ( 95025 × 95035) / 5
LCM(95025,95035) = 9030700875 / 5
LCM(95025,95035) = 1806140175

Least Common Multiple (LCM) of 95025 and 95035 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95025 and 95035. First we will calculate the prime factors of 95025 and 95035.

Prime Factorization of 95025

Prime Factorization of 95035

Now multiplying the highest exponent prime factors to calculate the LCM of 95025 and 95035.

LCM(95025,95035) = 3¹ × 5² × 7¹ × 181¹ × 83¹ × 229¹
LCM(95025,95035) = 1806140175