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What is the Least Common Multiple of 11427 and 11433?

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 11427 and 11433 is 43548297.

LCM(11427,11433) = 43548297

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Least Common Multiple of 11427 and 11433 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11427 and 11433, than apply into the LCM equation.

GCF(11427,11433) = 3
LCM(11427,11433) = ( 11427 × 11433) / 3
LCM(11427,11433) = 130644891 / 3
LCM(11427,11433) = 43548297

Least Common Multiple (LCM) of 11427 and 11433 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11427 and 11433. First we will calculate the prime factors of 11427 and 11433.

Prime Factorization of 11427

Prime factors of 11427 are 3, 13, 293. Prime factorization of 11427 in exponential form is:

11427 = 31 × 131 × 2931

Prime Factorization of 11433

Prime factors of 11433 are 3, 37, 103. Prime factorization of 11433 in exponential form is:

11433 = 31 × 371 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 11427 and 11433.

LCM(11427,11433) = 31 × 131 × 2931 × 371 × 1031
LCM(11427,11433) = 43548297