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What is the Least Common Multiple of 10485 and 10504?

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 10485 and 10504 is 110134440.

LCM(10485,10504) = 110134440

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Least Common Multiple of 10485 and 10504 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10485 and 10504, than apply into the LCM equation.

GCF(10485,10504) = 1
LCM(10485,10504) = ( 10485 × 10504) / 1
LCM(10485,10504) = 110134440 / 1
LCM(10485,10504) = 110134440

Least Common Multiple (LCM) of 10485 and 10504 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10485 and 10504. First we will calculate the prime factors of 10485 and 10504.

Prime Factorization of 10485

Prime factors of 10485 are 3, 5, 233. Prime factorization of 10485 in exponential form is:

10485 = 32 × 51 × 2331

Prime Factorization of 10504

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

10504 = 23 × 131 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 10485 and 10504.

LCM(10485,10504) = 32 × 51 × 2331 × 23 × 131 × 1011
LCM(10485,10504) = 110134440