What is the Least Common Multiple of 41412 and 41428?

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 41412 and 41428 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41412 and 41428, than apply into the LCM equation.

GCF(41412,41428) = 4
LCM(41412,41428) = ( 41412 × 41428) / 4
LCM(41412,41428) = 1715616336 / 4
LCM(41412,41428) = 428904084

Least Common Multiple (LCM) of 41412 and 41428 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41412 and 41428. First we will calculate the prime factors of 41412 and 41428.

Prime Factorization of 41412

Prime Factorization of 41428

Now multiplying the highest exponent prime factors to calculate the LCM of 41412 and 41428.

LCM(41412,41428) = 2² × 3¹ × 7¹ × 17¹ × 29¹ × 10357¹
LCM(41412,41428) = 428904084