What is the Least Common Multiple of 87588 and 87597?

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 87588 and 87597 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87588 and 87597, than apply into the LCM equation.

GCF(87588,87597) = 9
LCM(87588,87597) = ( 87588 × 87597) / 9
LCM(87588,87597) = 7672446036 / 9
LCM(87588,87597) = 852494004

Least Common Multiple (LCM) of 87588 and 87597 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87588 and 87597. First we will calculate the prime factors of 87588 and 87597.

Prime Factorization of 87588

Prime Factorization of 87597

Now multiplying the highest exponent prime factors to calculate the LCM of 87588 and 87597.

LCM(87588,87597) = 2² × 3³ × 811¹ × 9733¹
LCM(87588,87597) = 852494004