What is the Least Common Multiple of 95025 and 95043?

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 95043 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 95043, than apply into the LCM equation.

GCF(95025,95043) = 3
LCM(95025,95043) = ( 95025 × 95043) / 3
LCM(95025,95043) = 9031461075 / 3
LCM(95025,95043) = 3010487025

Least Common Multiple (LCM) of 95025 and 95043 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95025 and 95043. First we will calculate the prime factors of 95025 and 95043.

Prime Factorization of 95025

Prime Factorization of 95043

Now multiplying the highest exponent prime factors to calculate the LCM of 95025 and 95043.

LCM(95025,95043) = 3¹ × 5² × 7¹ × 181¹ × 13¹ × 2437¹
LCM(95025,95043) = 3010487025