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What is the Least Common Multiple of 58483 and 58503?

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 58483 and 58503 is 3421430949.

LCM(58483,58503) = 3421430949

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Least Common Multiple of 58483 and 58503 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58483 and 58503, than apply into the LCM equation.

GCF(58483,58503) = 1
LCM(58483,58503) = ( 58483 × 58503) / 1
LCM(58483,58503) = 3421430949 / 1
LCM(58483,58503) = 3421430949

Least Common Multiple (LCM) of 58483 and 58503 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58483 and 58503. First we will calculate the prime factors of 58483 and 58503.

Prime Factorization of 58483

Prime factors of 58483 are 233, 251. Prime factorization of 58483 in exponential form is:

58483 = 2331 × 2511

Prime Factorization of 58503

Prime factors of 58503 are 3, 19501. Prime factorization of 58503 in exponential form is:

58503 = 31 × 195011

Now multiplying the highest exponent prime factors to calculate the LCM of 58483 and 58503.

LCM(58483,58503) = 2331 × 2511 × 31 × 195011
LCM(58483,58503) = 3421430949