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What is the Least Common Multiple of 12041 and 12052?

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 12041 and 12052 is 145118132.

LCM(12041,12052) = 145118132

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Least Common Multiple of 12041 and 12052 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12041 and 12052, than apply into the LCM equation.

GCF(12041,12052) = 1
LCM(12041,12052) = ( 12041 × 12052) / 1
LCM(12041,12052) = 145118132 / 1
LCM(12041,12052) = 145118132

Least Common Multiple (LCM) of 12041 and 12052 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12041 and 12052. First we will calculate the prime factors of 12041 and 12052.

Prime Factorization of 12041

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

12041 = 120411

Prime Factorization of 12052

Prime factors of 12052 are 2, 23, 131. Prime factorization of 12052 in exponential form is:

12052 = 22 × 231 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 12041 and 12052.

LCM(12041,12052) = 120411 × 22 × 231 × 1311
LCM(12041,12052) = 145118132