What is the Least Common Multiple of 36686 and 36704?

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 36686 and 36704 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36686 and 36704, than apply into the LCM equation.

GCF(36686,36704) = 2
LCM(36686,36704) = ( 36686 × 36704) / 2
LCM(36686,36704) = 1346522944 / 2
LCM(36686,36704) = 673261472

Least Common Multiple (LCM) of 36686 and 36704 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36686 and 36704. First we will calculate the prime factors of 36686 and 36704.

Prime Factorization of 36686

Prime Factorization of 36704

Now multiplying the highest exponent prime factors to calculate the LCM of 36686 and 36704.

LCM(36686,36704) = 2⁵ × 13¹ × 17¹ × 83¹ × 31¹ × 37¹
LCM(36686,36704) = 673261472