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What is the Least Common Multiple of 5065 and 5073?

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 5065 and 5073 is 25694745.

LCM(5065,5073) = 25694745

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Least Common Multiple of 5065 and 5073 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5065 and 5073, than apply into the LCM equation.

GCF(5065,5073) = 1
LCM(5065,5073) = ( 5065 × 5073) / 1
LCM(5065,5073) = 25694745 / 1
LCM(5065,5073) = 25694745

Least Common Multiple (LCM) of 5065 and 5073 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5065 and 5073. First we will calculate the prime factors of 5065 and 5073.

Prime Factorization of 5065

Prime factors of 5065 are 5, 1013. Prime factorization of 5065 in exponential form is:

5065 = 51 × 10131

Prime Factorization of 5073

Prime factors of 5073 are 3, 19, 89. Prime factorization of 5073 in exponential form is:

5073 = 31 × 191 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 5065 and 5073.

LCM(5065,5073) = 51 × 10131 × 31 × 191 × 891
LCM(5065,5073) = 25694745