What is the Least Common Multiple of 92783 and 92799?

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 92783 and 92799 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92783 and 92799, than apply into the LCM equation.

GCF(92783,92799) = 1
LCM(92783,92799) = ( 92783 × 92799) / 1
LCM(92783,92799) = 8610169617 / 1
LCM(92783,92799) = 8610169617

Least Common Multiple (LCM) of 92783 and 92799 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92783 and 92799. First we will calculate the prime factors of 92783 and 92799.

Prime Factorization of 92783

Prime Factorization of 92799

Now multiplying the highest exponent prime factors to calculate the LCM of 92783 and 92799.

LCM(92783,92799) = 31¹ × 41¹ × 73¹ × 3³ × 7¹ × 491¹
LCM(92783,92799) = 8610169617