What is the Least Common Multiple of 92799 and 92806?

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 92799 and 92806 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92799 and 92806, than apply into the LCM equation.

GCF(92799,92806) = 7
LCM(92799,92806) = ( 92799 × 92806) / 7
LCM(92799,92806) = 8612303994 / 7
LCM(92799,92806) = 1230329142

Least Common Multiple (LCM) of 92799 and 92806 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92799 and 92806. First we will calculate the prime factors of 92799 and 92806.

Prime Factorization of 92799

Prime Factorization of 92806

Now multiplying the highest exponent prime factors to calculate the LCM of 92799 and 92806.

LCM(92799,92806) = 3³ × 7² × 491¹ × 2¹ × 947¹
LCM(92799,92806) = 1230329142