What is the Least Common Multiple of 95009 and 95025?

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 95009 and 95025 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95009 and 95025, than apply into the LCM equation.

GCF(95009,95025) = 1
LCM(95009,95025) = ( 95009 × 95025) / 1
LCM(95009,95025) = 9028230225 / 1
LCM(95009,95025) = 9028230225

Least Common Multiple (LCM) of 95009 and 95025 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95009 and 95025. First we will calculate the prime factors of 95009 and 95025.

Prime Factorization of 95009

Prime Factorization of 95025

Now multiplying the highest exponent prime factors to calculate the LCM of 95009 and 95025.

LCM(95009,95025) = 95009¹ × 3¹ × 5² × 7¹ × 181¹
LCM(95009,95025) = 9028230225