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What is the Least Common Multiple of 11412 and 11423?

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 11412 and 11423 is 130359276.

LCM(11412,11423) = 130359276

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Least Common Multiple of 11412 and 11423 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 11423, than apply into the LCM equation.

GCF(11412,11423) = 1
LCM(11412,11423) = ( 11412 × 11423) / 1
LCM(11412,11423) = 130359276 / 1
LCM(11412,11423) = 130359276

Least Common Multiple (LCM) of 11412 and 11423 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11412 and 11423. First we will calculate the prime factors of 11412 and 11423.

Prime Factorization of 11412

Prime factors of 11412 are 2, 3, 317. Prime factorization of 11412 in exponential form is:

11412 = 22 × 32 × 3171

Prime Factorization of 11423

Prime factors of 11423 are 11423. Prime factorization of 11423 in exponential form is:

11423 = 114231

Now multiplying the highest exponent prime factors to calculate the LCM of 11412 and 11423.

LCM(11412,11423) = 22 × 32 × 3171 × 114231
LCM(11412,11423) = 130359276