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What is the Least Common Multiple of 9472 and 9483?

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 9472 and 9483 is 89822976.

LCM(9472,9483) = 89822976

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Least Common Multiple of 9472 and 9483 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9472 and 9483, than apply into the LCM equation.

GCF(9472,9483) = 1
LCM(9472,9483) = ( 9472 × 9483) / 1
LCM(9472,9483) = 89822976 / 1
LCM(9472,9483) = 89822976

Least Common Multiple (LCM) of 9472 and 9483 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9472 and 9483. First we will calculate the prime factors of 9472 and 9483.

Prime Factorization of 9472

Prime factors of 9472 are 2, 37. Prime factorization of 9472 in exponential form is:

9472 = 28 × 371

Prime Factorization of 9483

Prime factors of 9483 are 3, 29, 109. Prime factorization of 9483 in exponential form is:

9483 = 31 × 291 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 9472 and 9483.

LCM(9472,9483) = 28 × 371 × 31 × 291 × 1091
LCM(9472,9483) = 89822976