What is the Least Common Multiple of 80708 and 80717?

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 80708 and 80717 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80708 and 80717, than apply into the LCM equation.

GCF(80708,80717) = 1
LCM(80708,80717) = ( 80708 × 80717) / 1
LCM(80708,80717) = 6514507636 / 1
LCM(80708,80717) = 6514507636

Least Common Multiple (LCM) of 80708 and 80717 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80708 and 80717. First we will calculate the prime factors of 80708 and 80717.

Prime Factorization of 80708

Prime Factorization of 80717

Now multiplying the highest exponent prime factors to calculate the LCM of 80708 and 80717.

LCM(80708,80717) = 2² × 20177¹ × 7¹ × 13¹ × 887¹
LCM(80708,80717) = 6514507636