What is the Least Common Multiple of 36704 and 36719?

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 36719 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 36719, than apply into the LCM equation.

GCF(36704,36719) = 1
LCM(36704,36719) = ( 36704 × 36719) / 1
LCM(36704,36719) = 1347734176 / 1
LCM(36704,36719) = 1347734176

Least Common Multiple (LCM) of 36704 and 36719 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36704 and 36719. First we will calculate the prime factors of 36704 and 36719.

Prime Factorization of 36704

Prime Factorization of 36719

Now multiplying the highest exponent prime factors to calculate the LCM of 36704 and 36719.

LCM(36704,36719) = 2⁵ × 31¹ × 37¹ × 73¹ × 503¹
LCM(36704,36719) = 1347734176