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What is the Least Common Multiple of 62483 and 62503?

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 62483 and 62503 is 3905374949.

LCM(62483,62503) = 3905374949

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Least Common Multiple of 62483 and 62503 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62483 and 62503, than apply into the LCM equation.

GCF(62483,62503) = 1
LCM(62483,62503) = ( 62483 × 62503) / 1
LCM(62483,62503) = 3905374949 / 1
LCM(62483,62503) = 3905374949

Least Common Multiple (LCM) of 62483 and 62503 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62483 and 62503. First we will calculate the prime factors of 62483 and 62503.

Prime Factorization of 62483

Prime factors of 62483 are 62483. Prime factorization of 62483 in exponential form is:

62483 = 624831

Prime Factorization of 62503

Prime factors of 62503 are 7, 8929. Prime factorization of 62503 in exponential form is:

62503 = 71 × 89291

Now multiplying the highest exponent prime factors to calculate the LCM of 62483 and 62503.

LCM(62483,62503) = 624831 × 71 × 89291
LCM(62483,62503) = 3905374949