What is the Least Common Multiple of 92589 and 92599?

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 92589 and 92599 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92589 and 92599, than apply into the LCM equation.

GCF(92589,92599) = 1
LCM(92589,92599) = ( 92589 × 92599) / 1
LCM(92589,92599) = 8573648811 / 1
LCM(92589,92599) = 8573648811

Least Common Multiple (LCM) of 92589 and 92599 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92589 and 92599. First we will calculate the prime factors of 92589 and 92599.

Prime Factorization of 92589

Prime Factorization of 92599

Now multiplying the highest exponent prime factors to calculate the LCM of 92589 and 92599.

LCM(92589,92599) = 3¹ × 7¹ × 4409¹ × 13¹ × 17¹ × 419¹
LCM(92589,92599) = 8573648811