What is the Least Common Multiple of 11412 and 11432?

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 11432 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 11432, than apply into the LCM equation.

GCF(11412,11432) = 4
LCM(11412,11432) = ( 11412 × 11432) / 4
LCM(11412,11432) = 130461984 / 4
LCM(11412,11432) = 32615496

Least Common Multiple (LCM) of 11412 and 11432 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11412 and 11432. First we will calculate the prime factors of 11412 and 11432.

Prime Factorization of 11412

Prime Factorization of 11432

Now multiplying the highest exponent prime factors to calculate the LCM of 11412 and 11432.

LCM(11412,11432) = 2³ × 3² × 317¹ × 1429¹
LCM(11412,11432) = 32615496