What is the Least Common Multiple of 95795 and 95809?

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 95795 and 95809 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95795 and 95809, than apply into the LCM equation.

GCF(95795,95809) = 7
LCM(95795,95809) = ( 95795 × 95809) / 7
LCM(95795,95809) = 9178023155 / 7
LCM(95795,95809) = 1311146165

Least Common Multiple (LCM) of 95795 and 95809 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95795 and 95809. First we will calculate the prime factors of 95795 and 95809.

Prime Factorization of 95795

Prime Factorization of 95809

Now multiplying the highest exponent prime factors to calculate the LCM of 95795 and 95809.

LCM(95795,95809) = 5¹ × 7² × 17¹ × 23¹ × 13687¹
LCM(95795,95809) = 1311146165