What is the Least Common Multiple of 76588 and 76597?

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 76588 and 76597 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76588 and 76597, than apply into the LCM equation.

GCF(76588,76597) = 1
LCM(76588,76597) = ( 76588 × 76597) / 1
LCM(76588,76597) = 5866411036 / 1
LCM(76588,76597) = 5866411036

Least Common Multiple (LCM) of 76588 and 76597 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76588 and 76597. First we will calculate the prime factors of 76588 and 76597.

Prime Factorization of 76588

Prime Factorization of 76597

Now multiplying the highest exponent prime factors to calculate the LCM of 76588 and 76597.

LCM(76588,76597) = 2² × 41¹ × 467¹ × 76597¹
LCM(76588,76597) = 5866411036