What is the Least Common Multiple of 98553 and 98571?

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 98553 and 98571 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98553 and 98571, than apply into the LCM equation.

GCF(98553,98571) = 3
LCM(98553,98571) = ( 98553 × 98571) / 3
LCM(98553,98571) = 9714467763 / 3
LCM(98553,98571) = 3238155921

Least Common Multiple (LCM) of 98553 and 98571 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98553 and 98571. First we will calculate the prime factors of 98553 and 98571.

Prime Factorization of 98553

Prime Factorization of 98571

Now multiplying the highest exponent prime factors to calculate the LCM of 98553 and 98571.

LCM(98553,98571) = 3¹ × 7¹ × 13¹ × 19² × 11¹ × 29¹ × 103¹
LCM(98553,98571) = 3238155921