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What is the Least Common Multiple of 82483 and 82503?

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 82483 and 82503 is 6805094949.

LCM(82483,82503) = 6805094949

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Least Common Multiple of 82483 and 82503 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82483 and 82503, than apply into the LCM equation.

GCF(82483,82503) = 1
LCM(82483,82503) = ( 82483 × 82503) / 1
LCM(82483,82503) = 6805094949 / 1
LCM(82483,82503) = 6805094949

Least Common Multiple (LCM) of 82483 and 82503 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82483 and 82503. First we will calculate the prime factors of 82483 and 82503.

Prime Factorization of 82483

Prime factors of 82483 are 82483. Prime factorization of 82483 in exponential form is:

82483 = 824831

Prime Factorization of 82503

Prime factors of 82503 are 3, 89, 103. Prime factorization of 82503 in exponential form is:

82503 = 32 × 891 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 82483 and 82503.

LCM(82483,82503) = 824831 × 32 × 891 × 1031
LCM(82483,82503) = 6805094949