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What is the Least Common Multiple of 9404 and 9411?

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 9404 and 9411 is 88501044.

LCM(9404,9411) = 88501044

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Least Common Multiple of 9404 and 9411 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9404 and 9411, than apply into the LCM equation.

GCF(9404,9411) = 1
LCM(9404,9411) = ( 9404 × 9411) / 1
LCM(9404,9411) = 88501044 / 1
LCM(9404,9411) = 88501044

Least Common Multiple (LCM) of 9404 and 9411 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9404 and 9411. First we will calculate the prime factors of 9404 and 9411.

Prime Factorization of 9404

Prime factors of 9404 are 2, 2351. Prime factorization of 9404 in exponential form is:

9404 = 22 × 23511

Prime Factorization of 9411

Prime factors of 9411 are 3, 3137. Prime factorization of 9411 in exponential form is:

9411 = 31 × 31371

Now multiplying the highest exponent prime factors to calculate the LCM of 9404 and 9411.

LCM(9404,9411) = 22 × 23511 × 31 × 31371
LCM(9404,9411) = 88501044