What is the Least Common Multiple of 92588 and 92597?

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 92588 and 92597 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92588 and 92597, than apply into the LCM equation.

GCF(92588,92597) = 1
LCM(92588,92597) = ( 92588 × 92597) / 1
LCM(92588,92597) = 8573371036 / 1
LCM(92588,92597) = 8573371036

Least Common Multiple (LCM) of 92588 and 92597 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92588 and 92597. First we will calculate the prime factors of 92588 and 92597.

Prime Factorization of 92588

Prime Factorization of 92597

Now multiplying the highest exponent prime factors to calculate the LCM of 92588 and 92597.

LCM(92588,92597) = 2² × 79¹ × 293¹ × 29¹ × 31¹ × 103¹
LCM(92588,92597) = 8573371036