What is the Least Common Multiple of 95499 and 95511?

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 95499 and 95511 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95499 and 95511, than apply into the LCM equation.

GCF(95499,95511) = 3
LCM(95499,95511) = ( 95499 × 95511) / 3
LCM(95499,95511) = 9121204989 / 3
LCM(95499,95511) = 3040401663

Least Common Multiple (LCM) of 95499 and 95511 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95499 and 95511. First we will calculate the prime factors of 95499 and 95511.

Prime Factorization of 95499

Prime Factorization of 95511

Now multiplying the highest exponent prime factors to calculate the LCM of 95499 and 95511.

LCM(95499,95511) = 3⁶ × 131¹ × 13¹ × 31¹ × 79¹
LCM(95499,95511) = 3040401663