What is the Least Common Multiple of 62326 and 62341?

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 62326 and 62341 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62326 and 62341, than apply into the LCM equation.

GCF(62326,62341) = 1
LCM(62326,62341) = ( 62326 × 62341) / 1
LCM(62326,62341) = 3885465166 / 1
LCM(62326,62341) = 3885465166

Least Common Multiple (LCM) of 62326 and 62341 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62326 and 62341. First we will calculate the prime factors of 62326 and 62341.

Prime Factorization of 62326

Prime Factorization of 62341

Now multiplying the highest exponent prime factors to calculate the LCM of 62326 and 62341.

LCM(62326,62341) = 2¹ × 11¹ × 2833¹ × 31¹ × 2011¹
LCM(62326,62341) = 3885465166