What is the Least Common Multiple of 40564 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 40564 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 40564 and 40571, than apply into the LCM equation.

GCF(40564,40571) = 1
LCM(40564,40571) = ( 40564 × 40571) / 1
LCM(40564,40571) = 1645722044 / 1
LCM(40564,40571) = 1645722044

Least Common Multiple (LCM) of 40564 and 40571 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40564 and 40571. First we will calculate the prime factors of 40564 and 40571.

Prime Factorization of 40564

Prime Factorization of 40571

Now multiplying the highest exponent prime factors to calculate the LCM of 40564 and 40571.

LCM(40564,40571) = 2² × 10141¹ × 29¹ × 1399¹
LCM(40564,40571) = 1645722044