What is the Least Common Multiple of 36813 and 36817?

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 36813 and 36817 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36813 and 36817, than apply into the LCM equation.

GCF(36813,36817) = 1
LCM(36813,36817) = ( 36813 × 36817) / 1
LCM(36813,36817) = 1355344221 / 1
LCM(36813,36817) = 1355344221

Least Common Multiple (LCM) of 36813 and 36817 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36813 and 36817. First we will calculate the prime factors of 36813 and 36817.

Prime Factorization of 36813

Prime Factorization of 36817

Now multiplying the highest exponent prime factors to calculate the LCM of 36813 and 36817.

LCM(36813,36817) = 3¹ × 7¹ × 1753¹ × 11¹ × 3347¹
LCM(36813,36817) = 1355344221