What is the Least Common Multiple of 68541 and 68559?

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 68541 and 68559 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68541 and 68559, than apply into the LCM equation.

GCF(68541,68559) = 3
LCM(68541,68559) = ( 68541 × 68559) / 3
LCM(68541,68559) = 4699102419 / 3
LCM(68541,68559) = 1566367473

Least Common Multiple (LCM) of 68541 and 68559 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68541 and 68559. First we will calculate the prime factors of 68541 and 68559.

Prime Factorization of 68541

Prime Factorization of 68559

Now multiplying the highest exponent prime factors to calculate the LCM of 68541 and 68559.

LCM(68541,68559) = 3¹ × 11¹ × 31¹ × 67¹ × 22853¹
LCM(68541,68559) = 1566367473