What is the Least Common Multiple of 36819 and 36828?

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 36819 and 36828 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36819 and 36828, than apply into the LCM equation.

GCF(36819,36828) = 9
LCM(36819,36828) = ( 36819 × 36828) / 9
LCM(36819,36828) = 1355970132 / 9
LCM(36819,36828) = 150663348

Least Common Multiple (LCM) of 36819 and 36828 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36819 and 36828. First we will calculate the prime factors of 36819 and 36828.

Prime Factorization of 36819

Prime Factorization of 36828

Now multiplying the highest exponent prime factors to calculate the LCM of 36819 and 36828.

LCM(36819,36828) = 3³ × 4091¹ × 2² × 11¹ × 31¹
LCM(36819,36828) = 150663348