What is the Least Common Multiple of 92568 and 92576?

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 92568 and 92576 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92568 and 92576, than apply into the LCM equation.

GCF(92568,92576) = 8
LCM(92568,92576) = ( 92568 × 92576) / 8
LCM(92568,92576) = 8569575168 / 8
LCM(92568,92576) = 1071196896

Least Common Multiple (LCM) of 92568 and 92576 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92568 and 92576. First we will calculate the prime factors of 92568 and 92576.

Prime Factorization of 92568

Prime Factorization of 92576

Now multiplying the highest exponent prime factors to calculate the LCM of 92568 and 92576.

LCM(92568,92576) = 2⁵ × 3¹ × 7¹ × 19¹ × 29¹ × 11¹ × 263¹
LCM(92568,92576) = 1071196896