What is the Least Common Multiple of 95025 and 95039?

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 95039 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 95039, than apply into the LCM equation.

GCF(95025,95039) = 7
LCM(95025,95039) = ( 95025 × 95039) / 7
LCM(95025,95039) = 9031080975 / 7
LCM(95025,95039) = 1290154425

Least Common Multiple (LCM) of 95025 and 95039 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95025 and 95039. First we will calculate the prime factors of 95025 and 95039.

Prime Factorization of 95025

Prime Factorization of 95039

Now multiplying the highest exponent prime factors to calculate the LCM of 95025 and 95039.

LCM(95025,95039) = 3¹ × 5² × 7¹ × 181¹ × 13577¹
LCM(95025,95039) = 1290154425