What is the Least Common Multiple of 47553 and 47571?

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 47553 and 47571 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47553 and 47571, than apply into the LCM equation.

GCF(47553,47571) = 3
LCM(47553,47571) = ( 47553 × 47571) / 3
LCM(47553,47571) = 2262143763 / 3
LCM(47553,47571) = 754047921

Least Common Multiple (LCM) of 47553 and 47571 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47553 and 47571. First we will calculate the prime factors of 47553 and 47571.

Prime Factorization of 47553

Prime Factorization of 47571

Now multiplying the highest exponent prime factors to calculate the LCM of 47553 and 47571.

LCM(47553,47571) = 3¹ × 11² × 131¹ × 101¹ × 157¹
LCM(47553,47571) = 754047921