What is the Least Common Multiple of 92589 and 92606?

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 92606 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 92606, than apply into the LCM equation.

GCF(92589,92606) = 1
LCM(92589,92606) = ( 92589 × 92606) / 1
LCM(92589,92606) = 8574296934 / 1
LCM(92589,92606) = 8574296934

Least Common Multiple (LCM) of 92589 and 92606 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92589 and 92606. First we will calculate the prime factors of 92589 and 92606.

Prime Factorization of 92589

Prime Factorization of 92606

Now multiplying the highest exponent prime factors to calculate the LCM of 92589 and 92606.

LCM(92589,92606) = 3¹ × 7¹ × 4409¹ × 2¹ × 19¹ × 2437¹
LCM(92589,92606) = 8574296934