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What is the Least Common Multiple of 9414 and 9432?

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 9414 and 9432 is 4932936.

LCM(9414,9432) = 4932936

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Least Common Multiple of 9414 and 9432 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9414 and 9432, than apply into the LCM equation.

GCF(9414,9432) = 18
LCM(9414,9432) = ( 9414 × 9432) / 18
LCM(9414,9432) = 88792848 / 18
LCM(9414,9432) = 4932936

Least Common Multiple (LCM) of 9414 and 9432 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9414 and 9432. First we will calculate the prime factors of 9414 and 9432.

Prime Factorization of 9414

Prime factors of 9414 are 2, 3, 523. Prime factorization of 9414 in exponential form is:

9414 = 21 × 32 × 5231

Prime Factorization of 9432

Prime factors of 9432 are 2, 3, 131. Prime factorization of 9432 in exponential form is:

9432 = 23 × 32 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 9414 and 9432.

LCM(9414,9432) = 23 × 32 × 5231 × 1311
LCM(9414,9432) = 4932936