What is the Least Common Multiple of 92659 and 92672?

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 92659 and 92672 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92659 and 92672, than apply into the LCM equation.

GCF(92659,92672) = 1
LCM(92659,92672) = ( 92659 × 92672) / 1
LCM(92659,92672) = 8586894848 / 1
LCM(92659,92672) = 8586894848

Least Common Multiple (LCM) of 92659 and 92672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92659 and 92672. First we will calculate the prime factors of 92659 and 92672.

Prime Factorization of 92659

Prime Factorization of 92672

Now multiplying the highest exponent prime factors to calculate the LCM of 92659 and 92672.

LCM(92659,92672) = 7² × 31¹ × 61¹ × 2⁹ × 181¹
LCM(92659,92672) = 8586894848