What is the Least Common Multiple of 36716 and 36723?

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 36716 and 36723 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36716 and 36723, than apply into the LCM equation.

GCF(36716,36723) = 1
LCM(36716,36723) = ( 36716 × 36723) / 1
LCM(36716,36723) = 1348321668 / 1
LCM(36716,36723) = 1348321668

Least Common Multiple (LCM) of 36716 and 36723 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36716 and 36723. First we will calculate the prime factors of 36716 and 36723.

Prime Factorization of 36716

Prime Factorization of 36723

Now multiplying the highest exponent prime factors to calculate the LCM of 36716 and 36723.

LCM(36716,36723) = 2² × 67¹ × 137¹ × 3¹ × 12241¹
LCM(36716,36723) = 1348321668