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What is the Least Common Multiple of 12031 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 12031 and 12041 is 144865271.

LCM(12031,12041) = 144865271

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Least Common Multiple of 12031 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 12031 and 12041, than apply into the LCM equation.

GCF(12031,12041) = 1
LCM(12031,12041) = ( 12031 × 12041) / 1
LCM(12031,12041) = 144865271 / 1
LCM(12031,12041) = 144865271

Least Common Multiple (LCM) of 12031 and 12041 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12031 and 12041. First we will calculate the prime factors of 12031 and 12041.

Prime Factorization of 12031

Prime factors of 12031 are 53, 227. Prime factorization of 12031 in exponential form is:

12031 = 531 × 2271

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 12031 and 12041.

LCM(12031,12041) = 531 × 2271 × 120411
LCM(12031,12041) = 144865271