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What is the Least Common Multiple of 57998 and 58017?

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 57998 and 58017 is 3364869966.

LCM(57998,58017) = 3364869966

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Least Common Multiple of 57998 and 58017 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57998 and 58017, than apply into the LCM equation.

GCF(57998,58017) = 1
LCM(57998,58017) = ( 57998 × 58017) / 1
LCM(57998,58017) = 3364869966 / 1
LCM(57998,58017) = 3364869966

Least Common Multiple (LCM) of 57998 and 58017 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57998 and 58017. First we will calculate the prime factors of 57998 and 58017.

Prime Factorization of 57998

Prime factors of 57998 are 2, 47, 617. Prime factorization of 57998 in exponential form is:

57998 = 21 × 471 × 6171

Prime Factorization of 58017

Prime factors of 58017 are 3, 83, 233. Prime factorization of 58017 in exponential form is:

58017 = 31 × 831 × 2331

Now multiplying the highest exponent prime factors to calculate the LCM of 57998 and 58017.

LCM(57998,58017) = 21 × 471 × 6171 × 31 × 831 × 2331
LCM(57998,58017) = 3364869966