What is the Least Common Multiple of 71686 and 71704?

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 71686 and 71704 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71686 and 71704, than apply into the LCM equation.

GCF(71686,71704) = 2
LCM(71686,71704) = ( 71686 × 71704) / 2
LCM(71686,71704) = 5140172944 / 2
LCM(71686,71704) = 2570086472

Least Common Multiple (LCM) of 71686 and 71704 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71686 and 71704. First we will calculate the prime factors of 71686 and 71704.

Prime Factorization of 71686

Prime Factorization of 71704

Now multiplying the highest exponent prime factors to calculate the LCM of 71686 and 71704.

LCM(71686,71704) = 2³ × 73¹ × 491¹ × 8963¹
LCM(71686,71704) = 2570086472