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What is the Least Common Multiple of 12474 and 12484?

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 12474 and 12484 is 77862708.

LCM(12474,12484) = 77862708

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Least Common Multiple of 12474 and 12484 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12474 and 12484, than apply into the LCM equation.

GCF(12474,12484) = 2
LCM(12474,12484) = ( 12474 × 12484) / 2
LCM(12474,12484) = 155725416 / 2
LCM(12474,12484) = 77862708

Least Common Multiple (LCM) of 12474 and 12484 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12474 and 12484. First we will calculate the prime factors of 12474 and 12484.

Prime Factorization of 12474

Prime factors of 12474 are 2, 3, 7, 11. Prime factorization of 12474 in exponential form is:

12474 = 21 × 34 × 71 × 111

Prime Factorization of 12484

Prime factors of 12484 are 2, 3121. Prime factorization of 12484 in exponential form is:

12484 = 22 × 31211

Now multiplying the highest exponent prime factors to calculate the LCM of 12474 and 12484.

LCM(12474,12484) = 22 × 34 × 71 × 111 × 31211
LCM(12474,12484) = 77862708