What is the Least Common Multiple of 95439 and 95446?

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 95439 and 95446 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95439 and 95446, than apply into the LCM equation.

GCF(95439,95446) = 1
LCM(95439,95446) = ( 95439 × 95446) / 1
LCM(95439,95446) = 9109270794 / 1
LCM(95439,95446) = 9109270794

Least Common Multiple (LCM) of 95439 and 95446 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95439 and 95446. First we will calculate the prime factors of 95439 and 95446.

Prime Factorization of 95439

Prime Factorization of 95446

Now multiplying the highest exponent prime factors to calculate the LCM of 95439 and 95446.

LCM(95439,95446) = 3¹ × 29¹ × 1097¹ × 2¹ × 13¹ × 3671¹
LCM(95439,95446) = 9109270794