What is the Least Common Multiple of 95825 and 95831?

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 95825 and 95831 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95825 and 95831, than apply into the LCM equation.

GCF(95825,95831) = 1
LCM(95825,95831) = ( 95825 × 95831) / 1
LCM(95825,95831) = 9183005575 / 1
LCM(95825,95831) = 9183005575

Least Common Multiple (LCM) of 95825 and 95831 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95825 and 95831. First we will calculate the prime factors of 95825 and 95831.

Prime Factorization of 95825

Prime Factorization of 95831

Now multiplying the highest exponent prime factors to calculate the LCM of 95825 and 95831.

LCM(95825,95831) = 5² × 3833¹ × 61¹ × 1571¹
LCM(95825,95831) = 9183005575