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What is the Least Common Multiple of 10504 and 10518?

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 10504 and 10518 is 55240536.

LCM(10504,10518) = 55240536

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Least Common Multiple of 10504 and 10518 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10504 and 10518, than apply into the LCM equation.

GCF(10504,10518) = 2
LCM(10504,10518) = ( 10504 × 10518) / 2
LCM(10504,10518) = 110481072 / 2
LCM(10504,10518) = 55240536

Least Common Multiple (LCM) of 10504 and 10518 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10504 and 10518. First we will calculate the prime factors of 10504 and 10518.

Prime Factorization of 10504

Prime factors of 10504 are 2, 13, 101. Prime factorization of 10504 in exponential form is:

10504 = 23 × 131 × 1011

Prime Factorization of 10518

Prime factors of 10518 are 2, 3, 1753. Prime factorization of 10518 in exponential form is:

10518 = 21 × 31 × 17531

Now multiplying the highest exponent prime factors to calculate the LCM of 10504 and 10518.

LCM(10504,10518) = 23 × 131 × 1011 × 31 × 17531
LCM(10504,10518) = 55240536