What is the Least Common Multiple of 92704 and 92717?

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 92704 and 92717 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92704 and 92717, than apply into the LCM equation.

GCF(92704,92717) = 1
LCM(92704,92717) = ( 92704 × 92717) / 1
LCM(92704,92717) = 8595236768 / 1
LCM(92704,92717) = 8595236768

Least Common Multiple (LCM) of 92704 and 92717 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92704 and 92717. First we will calculate the prime factors of 92704 and 92717.

Prime Factorization of 92704

Prime Factorization of 92717

Now multiplying the highest exponent prime factors to calculate the LCM of 92704 and 92717.

LCM(92704,92717) = 2⁵ × 2897¹ × 92717¹
LCM(92704,92717) = 8595236768