What is the Least Common Multiple of 36704 and 36716?

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 36704 and 36716 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36704 and 36716, than apply into the LCM equation.

GCF(36704,36716) = 4
LCM(36704,36716) = ( 36704 × 36716) / 4
LCM(36704,36716) = 1347624064 / 4
LCM(36704,36716) = 336906016

Least Common Multiple (LCM) of 36704 and 36716 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36704 and 36716. First we will calculate the prime factors of 36704 and 36716.

Prime Factorization of 36704

Prime Factorization of 36716

Now multiplying the highest exponent prime factors to calculate the LCM of 36704 and 36716.

LCM(36704,36716) = 2⁵ × 31¹ × 37¹ × 67¹ × 137¹
LCM(36704,36716) = 336906016