What is the Least Common Multiple of 36810 and 36829?

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 36810 and 36829 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36810 and 36829, than apply into the LCM equation.

GCF(36810,36829) = 1
LCM(36810,36829) = ( 36810 × 36829) / 1
LCM(36810,36829) = 1355675490 / 1
LCM(36810,36829) = 1355675490

Least Common Multiple (LCM) of 36810 and 36829 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36810 and 36829. First we will calculate the prime factors of 36810 and 36829.

Prime Factorization of 36810

Prime Factorization of 36829

Now multiplying the highest exponent prime factors to calculate the LCM of 36810 and 36829.

LCM(36810,36829) = 2¹ × 3² × 5¹ × 409¹ × 13¹ × 2833¹
LCM(36810,36829) = 1355675490