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What is the Least Common Multiple of 10503 and 10507?

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 10503 and 10507 is 110355021.

LCM(10503,10507) = 110355021

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Least Common Multiple of 10503 and 10507 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10503 and 10507, than apply into the LCM equation.

GCF(10503,10507) = 1
LCM(10503,10507) = ( 10503 × 10507) / 1
LCM(10503,10507) = 110355021 / 1
LCM(10503,10507) = 110355021

Least Common Multiple (LCM) of 10503 and 10507 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10503 and 10507. First we will calculate the prime factors of 10503 and 10507.

Prime Factorization of 10503

Prime factors of 10503 are 3, 389. Prime factorization of 10503 in exponential form is:

10503 = 33 × 3891

Prime Factorization of 10507

Prime factors of 10507 are 7, 19, 79. Prime factorization of 10507 in exponential form is:

10507 = 71 × 191 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 10503 and 10507.

LCM(10503,10507) = 33 × 3891 × 71 × 191 × 791
LCM(10503,10507) = 110355021