What is the Least Common Multiple of 41800 and 41814?

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 41800 and 41814 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41800 and 41814, than apply into the LCM equation.

GCF(41800,41814) = 2
LCM(41800,41814) = ( 41800 × 41814) / 2
LCM(41800,41814) = 1747825200 / 2
LCM(41800,41814) = 873912600

Least Common Multiple (LCM) of 41800 and 41814 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41800 and 41814. First we will calculate the prime factors of 41800 and 41814.

Prime Factorization of 41800

Prime Factorization of 41814

Now multiplying the highest exponent prime factors to calculate the LCM of 41800 and 41814.

LCM(41800,41814) = 2³ × 5² × 11¹ × 19¹ × 3² × 23¹ × 101¹
LCM(41800,41814) = 873912600