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What is the Least Common Multiple of 82063 and 82073?

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 82063 and 82073 is 6735156599.

LCM(82063,82073) = 6735156599

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Least Common Multiple of 82063 and 82073 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82063 and 82073, than apply into the LCM equation.

GCF(82063,82073) = 1
LCM(82063,82073) = ( 82063 × 82073) / 1
LCM(82063,82073) = 6735156599 / 1
LCM(82063,82073) = 6735156599

Least Common Multiple (LCM) of 82063 and 82073 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82063 and 82073. First we will calculate the prime factors of 82063 and 82073.

Prime Factorization of 82063

Prime factors of 82063 are 137, 599. Prime factorization of 82063 in exponential form is:

82063 = 1371 × 5991

Prime Factorization of 82073

Prime factors of 82073 are 82073. Prime factorization of 82073 in exponential form is:

82073 = 820731

Now multiplying the highest exponent prime factors to calculate the LCM of 82063 and 82073.

LCM(82063,82073) = 1371 × 5991 × 820731
LCM(82063,82073) = 6735156599