What is the Least Common Multiple of 21404 and 21412?

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 21404 and 21412 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21404 and 21412, than apply into the LCM equation.

GCF(21404,21412) = 4
LCM(21404,21412) = ( 21404 × 21412) / 4
LCM(21404,21412) = 458302448 / 4
LCM(21404,21412) = 114575612

Least Common Multiple (LCM) of 21404 and 21412 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21404 and 21412. First we will calculate the prime factors of 21404 and 21412.

Prime Factorization of 21404

Prime Factorization of 21412

Now multiplying the highest exponent prime factors to calculate the LCM of 21404 and 21412.

LCM(21404,21412) = 2² × 5351¹ × 53¹ × 101¹
LCM(21404,21412) = 114575612