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What is the Least Common Multiple of 12145 and 12165?

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 12145 and 12165 is 29548785.

LCM(12145,12165) = 29548785

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Least Common Multiple of 12145 and 12165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12145 and 12165, than apply into the LCM equation.

GCF(12145,12165) = 5
LCM(12145,12165) = ( 12145 × 12165) / 5
LCM(12145,12165) = 147743925 / 5
LCM(12145,12165) = 29548785

Least Common Multiple (LCM) of 12145 and 12165 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12145 and 12165. First we will calculate the prime factors of 12145 and 12165.

Prime Factorization of 12145

Prime factors of 12145 are 5, 7, 347. Prime factorization of 12145 in exponential form is:

12145 = 51 × 71 × 3471

Prime Factorization of 12165

Prime factors of 12165 are 3, 5, 811. Prime factorization of 12165 in exponential form is:

12165 = 31 × 51 × 8111

Now multiplying the highest exponent prime factors to calculate the LCM of 12145 and 12165.

LCM(12145,12165) = 51 × 71 × 3471 × 31 × 8111
LCM(12145,12165) = 29548785