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What is the Least Common Multiple of 12032 and 12041?

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 12032 and 12041 is 144877312.

LCM(12032,12041) = 144877312

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Least Common Multiple of 12032 and 12041 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12032 and 12041, than apply into the LCM equation.

GCF(12032,12041) = 1
LCM(12032,12041) = ( 12032 × 12041) / 1
LCM(12032,12041) = 144877312 / 1
LCM(12032,12041) = 144877312

Least Common Multiple (LCM) of 12032 and 12041 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12032 and 12041. First we will calculate the prime factors of 12032 and 12041.

Prime Factorization of 12032

Prime factors of 12032 are 2, 47. Prime factorization of 12032 in exponential form is:

12032 = 28 × 471

Prime Factorization of 12041

Prime factors of 12041 are 12041. Prime factorization of 12041 in exponential form is:

12041 = 120411

Now multiplying the highest exponent prime factors to calculate the LCM of 12032 and 12041.

LCM(12032,12041) = 28 × 471 × 120411
LCM(12032,12041) = 144877312