What is the Least Common Multiple of 68553 and 68571?

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 68553 and 68571 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68553 and 68571, than apply into the LCM equation.

GCF(68553,68571) = 9
LCM(68553,68571) = ( 68553 × 68571) / 9
LCM(68553,68571) = 4700747763 / 9
LCM(68553,68571) = 522305307

Least Common Multiple (LCM) of 68553 and 68571 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68553 and 68571. First we will calculate the prime factors of 68553 and 68571.

Prime Factorization of 68553

Prime Factorization of 68571

Now multiplying the highest exponent prime factors to calculate the LCM of 68553 and 68571.

LCM(68553,68571) = 3³ × 2539¹ × 19¹ × 401¹
LCM(68553,68571) = 522305307