What is the Least Common Multiple of 11412 and 11421?

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 11412 and 11421 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11412 and 11421, than apply into the LCM equation.

GCF(11412,11421) = 9
LCM(11412,11421) = ( 11412 × 11421) / 9
LCM(11412,11421) = 130336452 / 9
LCM(11412,11421) = 14481828

Least Common Multiple (LCM) of 11412 and 11421 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11412 and 11421. First we will calculate the prime factors of 11412 and 11421.

Prime Factorization of 11412

Prime Factorization of 11421

Now multiplying the highest exponent prime factors to calculate the LCM of 11412 and 11421.

LCM(11412,11421) = 2² × 3⁵ × 317¹ × 47¹
LCM(11412,11421) = 14481828