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What is the Least Common Multiple of 82713 and 82726?

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 82713 and 82726 is 6842515638.

LCM(82713,82726) = 6842515638

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Least Common Multiple of 82713 and 82726 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82713 and 82726, than apply into the LCM equation.

GCF(82713,82726) = 1
LCM(82713,82726) = ( 82713 × 82726) / 1
LCM(82713,82726) = 6842515638 / 1
LCM(82713,82726) = 6842515638

Least Common Multiple (LCM) of 82713 and 82726 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82713 and 82726. First we will calculate the prime factors of 82713 and 82726.

Prime Factorization of 82713

Prime factors of 82713 are 3, 79, 349. Prime factorization of 82713 in exponential form is:

82713 = 31 × 791 × 3491

Prime Factorization of 82726

Prime factors of 82726 are 2, 7, 19, 311. Prime factorization of 82726 in exponential form is:

82726 = 21 × 71 × 191 × 3111

Now multiplying the highest exponent prime factors to calculate the LCM of 82713 and 82726.

LCM(82713,82726) = 31 × 791 × 3491 × 21 × 71 × 191 × 3111
LCM(82713,82726) = 6842515638