What is the Least Common Multiple of 87699 and 87717?

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 87699 and 87717 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87699 and 87717, than apply into the LCM equation.

GCF(87699,87717) = 3
LCM(87699,87717) = ( 87699 × 87717) / 3
LCM(87699,87717) = 7692693183 / 3
LCM(87699,87717) = 2564231061

Least Common Multiple (LCM) of 87699 and 87717 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87699 and 87717. First we will calculate the prime factors of 87699 and 87717.

Prime Factorization of 87699

Prime Factorization of 87717

Now multiplying the highest exponent prime factors to calculate the LCM of 87699 and 87717.

LCM(87699,87717) = 3¹ × 23¹ × 31¹ × 41¹ × 7¹ × 4177¹
LCM(87699,87717) = 2564231061