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What is the Least Common Multiple of 12458 and 12465?

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 12458 and 12465 is 155288970.

LCM(12458,12465) = 155288970

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Least Common Multiple of 12458 and 12465 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12458 and 12465, than apply into the LCM equation.

GCF(12458,12465) = 1
LCM(12458,12465) = ( 12458 × 12465) / 1
LCM(12458,12465) = 155288970 / 1
LCM(12458,12465) = 155288970

Least Common Multiple (LCM) of 12458 and 12465 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12458 and 12465. First we will calculate the prime factors of 12458 and 12465.

Prime Factorization of 12458

Prime factors of 12458 are 2, 6229. Prime factorization of 12458 in exponential form is:

12458 = 21 × 62291

Prime Factorization of 12465

Prime factors of 12465 are 3, 5, 277. Prime factorization of 12465 in exponential form is:

12465 = 32 × 51 × 2771

Now multiplying the highest exponent prime factors to calculate the LCM of 12458 and 12465.

LCM(12458,12465) = 21 × 62291 × 32 × 51 × 2771
LCM(12458,12465) = 155288970