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What is the Least Common Multiple of 9411 and 9427?

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 9411 and 9427 is 88717497.

LCM(9411,9427) = 88717497

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Least Common Multiple of 9411 and 9427 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9411 and 9427, than apply into the LCM equation.

GCF(9411,9427) = 1
LCM(9411,9427) = ( 9411 × 9427) / 1
LCM(9411,9427) = 88717497 / 1
LCM(9411,9427) = 88717497

Least Common Multiple (LCM) of 9411 and 9427 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9411 and 9427. First we will calculate the prime factors of 9411 and 9427.

Prime Factorization of 9411

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

9411 = 31 × 31371

Prime Factorization of 9427

Prime factors of 9427 are 11, 857. Prime factorization of 9427 in exponential form is:

9427 = 111 × 8571

Now multiplying the highest exponent prime factors to calculate the LCM of 9411 and 9427.

LCM(9411,9427) = 31 × 31371 × 111 × 8571
LCM(9411,9427) = 88717497