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What is the Least Common Multiple of 9465 and 9473?

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 9465 and 9473 is 89661945.

LCM(9465,9473) = 89661945

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Least Common Multiple of 9465 and 9473 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9465 and 9473, than apply into the LCM equation.

GCF(9465,9473) = 1
LCM(9465,9473) = ( 9465 × 9473) / 1
LCM(9465,9473) = 89661945 / 1
LCM(9465,9473) = 89661945

Least Common Multiple (LCM) of 9465 and 9473 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9465 and 9473. First we will calculate the prime factors of 9465 and 9473.

Prime Factorization of 9465

Prime factors of 9465 are 3, 5, 631. Prime factorization of 9465 in exponential form is:

9465 = 31 × 51 × 6311

Prime Factorization of 9473

Prime factors of 9473 are 9473. Prime factorization of 9473 in exponential form is:

9473 = 94731

Now multiplying the highest exponent prime factors to calculate the LCM of 9465 and 9473.

LCM(9465,9473) = 31 × 51 × 6311 × 94731
LCM(9465,9473) = 89661945