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What is the Least Common Multiple of 9468 and 9481?

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 9468 and 9481 is 89766108.

LCM(9468,9481) = 89766108

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Least Common Multiple of 9468 and 9481 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9468 and 9481, than apply into the LCM equation.

GCF(9468,9481) = 1
LCM(9468,9481) = ( 9468 × 9481) / 1
LCM(9468,9481) = 89766108 / 1
LCM(9468,9481) = 89766108

Least Common Multiple (LCM) of 9468 and 9481 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9468 and 9481. First we will calculate the prime factors of 9468 and 9481.

Prime Factorization of 9468

Prime factors of 9468 are 2, 3, 263. Prime factorization of 9468 in exponential form is:

9468 = 22 × 32 × 2631

Prime Factorization of 9481

Prime factors of 9481 are 19, 499. Prime factorization of 9481 in exponential form is:

9481 = 191 × 4991

Now multiplying the highest exponent prime factors to calculate the LCM of 9468 and 9481.

LCM(9468,9481) = 22 × 32 × 2631 × 191 × 4991
LCM(9468,9481) = 89766108