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What is the Least Common Multiple of 10384 and 10403?

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 10384 and 10403 is 108024752.

LCM(10384,10403) = 108024752

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Least Common Multiple of 10384 and 10403 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10384 and 10403, than apply into the LCM equation.

GCF(10384,10403) = 1
LCM(10384,10403) = ( 10384 × 10403) / 1
LCM(10384,10403) = 108024752 / 1
LCM(10384,10403) = 108024752

Least Common Multiple (LCM) of 10384 and 10403 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10384 and 10403. First we will calculate the prime factors of 10384 and 10403.

Prime Factorization of 10384

Prime factors of 10384 are 2, 11, 59. Prime factorization of 10384 in exponential form is:

10384 = 24 × 111 × 591

Prime Factorization of 10403

Prime factors of 10403 are 101, 103. Prime factorization of 10403 in exponential form is:

10403 = 1011 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 10384 and 10403.

LCM(10384,10403) = 24 × 111 × 591 × 1011 × 1031
LCM(10384,10403) = 108024752