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What is the Least Common Multiple of 38482 and 38494?

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 38482 and 38494 is 740663054.

LCM(38482,38494) = 740663054

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Least Common Multiple of 38482 and 38494 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38482 and 38494, than apply into the LCM equation.

GCF(38482,38494) = 2
LCM(38482,38494) = ( 38482 × 38494) / 2
LCM(38482,38494) = 1481326108 / 2
LCM(38482,38494) = 740663054

Least Common Multiple (LCM) of 38482 and 38494 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38482 and 38494. First we will calculate the prime factors of 38482 and 38494.

Prime Factorization of 38482

Prime factors of 38482 are 2, 71, 271. Prime factorization of 38482 in exponential form is:

38482 = 21 × 711 × 2711

Prime Factorization of 38494

Prime factors of 38494 are 2, 19, 1013. Prime factorization of 38494 in exponential form is:

38494 = 21 × 191 × 10131

Now multiplying the highest exponent prime factors to calculate the LCM of 38482 and 38494.

LCM(38482,38494) = 21 × 711 × 2711 × 191 × 10131
LCM(38482,38494) = 740663054