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What is the Least Common Multiple of 12434 and 12452?

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 12434 and 12452 is 77414084.

LCM(12434,12452) = 77414084

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Least Common Multiple of 12434 and 12452 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12434 and 12452, than apply into the LCM equation.

GCF(12434,12452) = 2
LCM(12434,12452) = ( 12434 × 12452) / 2
LCM(12434,12452) = 154828168 / 2
LCM(12434,12452) = 77414084

Least Common Multiple (LCM) of 12434 and 12452 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12434 and 12452. First we will calculate the prime factors of 12434 and 12452.

Prime Factorization of 12434

Prime factors of 12434 are 2, 6217. Prime factorization of 12434 in exponential form is:

12434 = 21 × 62171

Prime Factorization of 12452

Prime factors of 12452 are 2, 11, 283. Prime factorization of 12452 in exponential form is:

12452 = 22 × 111 × 2831

Now multiplying the highest exponent prime factors to calculate the LCM of 12434 and 12452.

LCM(12434,12452) = 22 × 62171 × 111 × 2831
LCM(12434,12452) = 77414084