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What is the Least Common Multiple of 10467 and 10473?

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 10467 and 10473 is 36540297.

LCM(10467,10473) = 36540297

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Least Common Multiple of 10467 and 10473 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10467 and 10473, than apply into the LCM equation.

GCF(10467,10473) = 3
LCM(10467,10473) = ( 10467 × 10473) / 3
LCM(10467,10473) = 109620891 / 3
LCM(10467,10473) = 36540297

Least Common Multiple (LCM) of 10467 and 10473 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10467 and 10473. First we will calculate the prime factors of 10467 and 10473.

Prime Factorization of 10467

Prime factors of 10467 are 3, 1163. Prime factorization of 10467 in exponential form is:

10467 = 32 × 11631

Prime Factorization of 10473

Prime factors of 10473 are 3, 3491. Prime factorization of 10473 in exponential form is:

10473 = 31 × 34911

Now multiplying the highest exponent prime factors to calculate the LCM of 10467 and 10473.

LCM(10467,10473) = 32 × 11631 × 34911
LCM(10467,10473) = 36540297