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What is the Least Common Multiple of 7091 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 7091 and 7103 is 50367373.

LCM(7091,7103) = 50367373

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Least Common Multiple of 7091 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 7091 and 7103, than apply into the LCM equation.

GCF(7091,7103) = 1
LCM(7091,7103) = ( 7091 × 7103) / 1
LCM(7091,7103) = 50367373 / 1
LCM(7091,7103) = 50367373

Least Common Multiple (LCM) of 7091 and 7103 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7091 and 7103. First we will calculate the prime factors of 7091 and 7103.

Prime Factorization of 7091

Prime factors of 7091 are 7, 1013. Prime factorization of 7091 in exponential form is:

7091 = 71 × 10131

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 7091 and 7103.

LCM(7091,7103) = 71 × 10131 × 71031
LCM(7091,7103) = 50367373