What is the Least Common Multiple of 41814 and 41830?

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 41814 and 41830 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41814 and 41830, than apply into the LCM equation.

GCF(41814,41830) = 2
LCM(41814,41830) = ( 41814 × 41830) / 2
LCM(41814,41830) = 1749079620 / 2
LCM(41814,41830) = 874539810

Least Common Multiple (LCM) of 41814 and 41830 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41814 and 41830. First we will calculate the prime factors of 41814 and 41830.

Prime Factorization of 41814

Prime Factorization of 41830

Now multiplying the highest exponent prime factors to calculate the LCM of 41814 and 41830.

LCM(41814,41830) = 2¹ × 3² × 23¹ × 101¹ × 5¹ × 47¹ × 89¹
LCM(41814,41830) = 874539810