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What is the Least Common Multiple of 7093 and 7103?

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 7093 and 7103 is 50381579.

LCM(7093,7103) = 50381579

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Least Common Multiple of 7093 and 7103 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7093 and 7103, than apply into the LCM equation.

GCF(7093,7103) = 1
LCM(7093,7103) = ( 7093 × 7103) / 1
LCM(7093,7103) = 50381579 / 1
LCM(7093,7103) = 50381579

Least Common Multiple (LCM) of 7093 and 7103 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7093 and 7103. First we will calculate the prime factors of 7093 and 7103.

Prime Factorization of 7093

Prime factors of 7093 are 41, 173. Prime factorization of 7093 in exponential form is:

7093 = 411 × 1731

Prime Factorization of 7103

Prime factors of 7103 are 7103. Prime factorization of 7103 in exponential form is:

7103 = 71031

Now multiplying the highest exponent prime factors to calculate the LCM of 7093 and 7103.

LCM(7093,7103) = 411 × 1731 × 71031
LCM(7093,7103) = 50381579