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What is the Least Common Multiple of 62393 and 62398?

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 62393 and 62398 is 3893198414.

LCM(62393,62398) = 3893198414

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Least Common Multiple of 62393 and 62398 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62393 and 62398, than apply into the LCM equation.

GCF(62393,62398) = 1
LCM(62393,62398) = ( 62393 × 62398) / 1
LCM(62393,62398) = 3893198414 / 1
LCM(62393,62398) = 3893198414

Least Common Multiple (LCM) of 62393 and 62398 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62393 and 62398. First we will calculate the prime factors of 62393 and 62398.

Prime Factorization of 62393

Prime factors of 62393 are 43, 1451. Prime factorization of 62393 in exponential form is:

62393 = 431 × 14511

Prime Factorization of 62398

Prime factors of 62398 are 2, 7, 4457. Prime factorization of 62398 in exponential form is:

62398 = 21 × 71 × 44571

Now multiplying the highest exponent prime factors to calculate the LCM of 62393 and 62398.

LCM(62393,62398) = 431 × 14511 × 21 × 71 × 44571
LCM(62393,62398) = 3893198414