What is the Least Common Multiple of 75698 and 75717?

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 75698 and 75717 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75698 and 75717, than apply into the LCM equation.

GCF(75698,75717) = 1
LCM(75698,75717) = ( 75698 × 75717) / 1
LCM(75698,75717) = 5731625466 / 1
LCM(75698,75717) = 5731625466

Least Common Multiple (LCM) of 75698 and 75717 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75698 and 75717. First we will calculate the prime factors of 75698 and 75717.

Prime Factorization of 75698

Prime Factorization of 75717

Now multiplying the highest exponent prime factors to calculate the LCM of 75698 and 75717.

LCM(75698,75717) = 2¹ × 7¹ × 5407¹ × 3² × 47¹ × 179¹
LCM(75698,75717) = 5731625466