What is the Least Common Multiple of 52819 and 52836?

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 52819 and 52836 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52819 and 52836, than apply into the LCM equation.

GCF(52819,52836) = 17
LCM(52819,52836) = ( 52819 × 52836) / 17
LCM(52819,52836) = 2790744684 / 17
LCM(52819,52836) = 164161452

Least Common Multiple (LCM) of 52819 and 52836 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52819 and 52836. First we will calculate the prime factors of 52819 and 52836.

Prime Factorization of 52819

Prime Factorization of 52836

Now multiplying the highest exponent prime factors to calculate the LCM of 52819 and 52836.

LCM(52819,52836) = 13¹ × 17¹ × 239¹ × 2² × 3¹ × 7¹ × 37¹
LCM(52819,52836) = 164161452