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What is the Least Common Multiple of 9474 and 9486?

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 9474 and 9486 is 14978394.

LCM(9474,9486) = 14978394

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Least Common Multiple of 9474 and 9486 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9474 and 9486, than apply into the LCM equation.

GCF(9474,9486) = 6
LCM(9474,9486) = ( 9474 × 9486) / 6
LCM(9474,9486) = 89870364 / 6
LCM(9474,9486) = 14978394

Least Common Multiple (LCM) of 9474 and 9486 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9474 and 9486. First we will calculate the prime factors of 9474 and 9486.

Prime Factorization of 9474

Prime factors of 9474 are 2, 3, 1579. Prime factorization of 9474 in exponential form is:

9474 = 21 × 31 × 15791

Prime Factorization of 9486

Prime factors of 9486 are 2, 3, 17, 31. Prime factorization of 9486 in exponential form is:

9486 = 21 × 32 × 171 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 9474 and 9486.

LCM(9474,9486) = 21 × 32 × 15791 × 171 × 311
LCM(9474,9486) = 14978394