What is the Least Common Multiple of 92704 and 92721?

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 92721 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 92721, than apply into the LCM equation.

GCF(92704,92721) = 1
LCM(92704,92721) = ( 92704 × 92721) / 1
LCM(92704,92721) = 8595607584 / 1
LCM(92704,92721) = 8595607584

Least Common Multiple (LCM) of 92704 and 92721 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92704 and 92721. First we will calculate the prime factors of 92704 and 92721.

Prime Factorization of 92704

Prime Factorization of 92721

Now multiplying the highest exponent prime factors to calculate the LCM of 92704 and 92721.

LCM(92704,92721) = 2⁵ × 2897¹ × 3¹ × 31¹ × 997¹
LCM(92704,92721) = 8595607584