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What is the Least Common Multiple of 12043 and 12054?

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 12043 and 12054 is 145166322.

LCM(12043,12054) = 145166322

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Least Common Multiple of 12043 and 12054 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12043 and 12054, than apply into the LCM equation.

GCF(12043,12054) = 1
LCM(12043,12054) = ( 12043 × 12054) / 1
LCM(12043,12054) = 145166322 / 1
LCM(12043,12054) = 145166322

Least Common Multiple (LCM) of 12043 and 12054 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12043 and 12054. First we will calculate the prime factors of 12043 and 12054.

Prime Factorization of 12043

Prime factors of 12043 are 12043. Prime factorization of 12043 in exponential form is:

12043 = 120431

Prime Factorization of 12054

Prime factors of 12054 are 2, 3, 7, 41. Prime factorization of 12054 in exponential form is:

12054 = 21 × 31 × 72 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 12043 and 12054.

LCM(12043,12054) = 120431 × 21 × 31 × 72 × 411
LCM(12043,12054) = 145166322