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What is the Least Common Multiple of 7103 and 7111?

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 7103 and 7111 is 50509433.

LCM(7103,7111) = 50509433

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Least Common Multiple of 7103 and 7111 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7103 and 7111, than apply into the LCM equation.

GCF(7103,7111) = 1
LCM(7103,7111) = ( 7103 × 7111) / 1
LCM(7103,7111) = 50509433 / 1
LCM(7103,7111) = 50509433

Least Common Multiple (LCM) of 7103 and 7111 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7103 and 7111. First we will calculate the prime factors of 7103 and 7111.

Prime Factorization of 7103

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

7103 = 71031

Prime Factorization of 7111

Prime factors of 7111 are 13, 547. Prime factorization of 7111 in exponential form is:

7111 = 131 × 5471

Now multiplying the highest exponent prime factors to calculate the LCM of 7103 and 7111.

LCM(7103,7111) = 71031 × 131 × 5471
LCM(7103,7111) = 50509433