What is the Least Common Multiple of 66552 and 66571?

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 66552 and 66571 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66552 and 66571, than apply into the LCM equation.

GCF(66552,66571) = 1
LCM(66552,66571) = ( 66552 × 66571) / 1
LCM(66552,66571) = 4430433192 / 1
LCM(66552,66571) = 4430433192

Least Common Multiple (LCM) of 66552 and 66571 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66552 and 66571. First we will calculate the prime factors of 66552 and 66571.

Prime Factorization of 66552

Prime Factorization of 66571

Now multiplying the highest exponent prime factors to calculate the LCM of 66552 and 66571.

LCM(66552,66571) = 2³ × 3¹ × 47¹ × 59¹ × 66571¹
LCM(66552,66571) = 4430433192