What is the Least Common Multiple of 40557 and 40568?

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 40557 and 40568 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40557 and 40568, than apply into the LCM equation.

GCF(40557,40568) = 11
LCM(40557,40568) = ( 40557 × 40568) / 11
LCM(40557,40568) = 1645316376 / 11
LCM(40557,40568) = 149574216

Least Common Multiple (LCM) of 40557 and 40568 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40557 and 40568. First we will calculate the prime factors of 40557 and 40568.

Prime Factorization of 40557

Prime Factorization of 40568

Now multiplying the highest exponent prime factors to calculate the LCM of 40557 and 40568.

LCM(40557,40568) = 3¹ × 11¹ × 1229¹ × 2³ × 461¹
LCM(40557,40568) = 149574216