What is the Least Common Multiple of 40566 and 40573?

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 40566 and 40573 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40566 and 40573, than apply into the LCM equation.

GCF(40566,40573) = 1
LCM(40566,40573) = ( 40566 × 40573) / 1
LCM(40566,40573) = 1645884318 / 1
LCM(40566,40573) = 1645884318

Least Common Multiple (LCM) of 40566 and 40573 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40566 and 40573. First we will calculate the prime factors of 40566 and 40573.

Prime Factorization of 40566

Prime Factorization of 40573

Now multiplying the highest exponent prime factors to calculate the LCM of 40566 and 40573.

LCM(40566,40573) = 2¹ × 3¹ × 6761¹ × 13¹ × 3121¹
LCM(40566,40573) = 1645884318