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What is the Least Common Multiple of 11428 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 (LCM) of 11428 and 11432 is 32661224.

LCM(11428,11432) = 32661224

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Least Common Multiple of 11428 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 11428 and 11432, than apply into the LCM equation.

GCF(11428,11432) = 4
LCM(11428,11432) = ( 11428 × 11432) / 4
LCM(11428,11432) = 130644896 / 4
LCM(11428,11432) = 32661224

Least Common Multiple (LCM) of 11428 and 11432 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11428 and 11432. First we will calculate the prime factors of 11428 and 11432.

Prime Factorization of 11428

Prime factors of 11428 are 2, 2857. Prime factorization of 11428 in exponential form is:

11428 = 22 × 28571

Prime Factorization of 11432

Prime factors of 11432 are 2, 1429. Prime factorization of 11432 in exponential form is:

11432 = 23 × 14291

Now multiplying the highest exponent prime factors to calculate the LCM of 11428 and 11432.

LCM(11428,11432) = 23 × 28571 × 14291
LCM(11428,11432) = 32661224