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What is the Least Common Multiple of 12434 and 12447?

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 12447 is 154765998.

LCM(12434,12447) = 154765998

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Least Common Multiple of 12434 and 12447 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 12447, than apply into the LCM equation.

GCF(12434,12447) = 1
LCM(12434,12447) = ( 12434 × 12447) / 1
LCM(12434,12447) = 154765998 / 1
LCM(12434,12447) = 154765998

Least Common Multiple (LCM) of 12434 and 12447 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12434 and 12447. First we will calculate the prime factors of 12434 and 12447.

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 12447

Prime factors of 12447 are 3, 461. Prime factorization of 12447 in exponential form is:

12447 = 33 × 4611

Now multiplying the highest exponent prime factors to calculate the LCM of 12434 and 12447.

LCM(12434,12447) = 21 × 62171 × 33 × 4611
LCM(12434,12447) = 154765998