What is the Least Common Multiple of 40553 and 40571?

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 40553 and 40571 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40553 and 40571, than apply into the LCM equation.

GCF(40553,40571) = 1
LCM(40553,40571) = ( 40553 × 40571) / 1
LCM(40553,40571) = 1645275763 / 1
LCM(40553,40571) = 1645275763

Least Common Multiple (LCM) of 40553 and 40571 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40553 and 40571. First we will calculate the prime factors of 40553 and 40571.

Prime Factorization of 40553

Prime Factorization of 40571

Now multiplying the highest exponent prime factors to calculate the LCM of 40553 and 40571.

LCM(40553,40571) = 107¹ × 379¹ × 29¹ × 1399¹
LCM(40553,40571) = 1645275763