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What is the Least Common Multiple of 14045 and 14065?

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 14045 and 14065 is 39508585.

LCM(14045,14065) = 39508585

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Least Common Multiple of 14045 and 14065 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14045 and 14065, than apply into the LCM equation.

GCF(14045,14065) = 5
LCM(14045,14065) = ( 14045 × 14065) / 5
LCM(14045,14065) = 197542925 / 5
LCM(14045,14065) = 39508585

Least Common Multiple (LCM) of 14045 and 14065 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14045 and 14065. First we will calculate the prime factors of 14045 and 14065.

Prime Factorization of 14045

Prime factors of 14045 are 5, 53. Prime factorization of 14045 in exponential form is:

14045 = 51 × 532

Prime Factorization of 14065

Prime factors of 14065 are 5, 29, 97. Prime factorization of 14065 in exponential form is:

14065 = 51 × 291 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 14045 and 14065.

LCM(14045,14065) = 51 × 532 × 291 × 971
LCM(14045,14065) = 39508585