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What is the Least Common Multiple of 82934 and 82939?

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 82934 and 82939 is 6878463026.

LCM(82934,82939) = 6878463026

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Least Common Multiple of 82934 and 82939 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82934 and 82939, than apply into the LCM equation.

GCF(82934,82939) = 1
LCM(82934,82939) = ( 82934 × 82939) / 1
LCM(82934,82939) = 6878463026 / 1
LCM(82934,82939) = 6878463026

Least Common Multiple (LCM) of 82934 and 82939 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82934 and 82939. First we will calculate the prime factors of 82934 and 82939.

Prime Factorization of 82934

Prime factors of 82934 are 2, 41467. Prime factorization of 82934 in exponential form is:

82934 = 21 × 414671

Prime Factorization of 82939

Prime factors of 82939 are 82939. Prime factorization of 82939 in exponential form is:

82939 = 829391

Now multiplying the highest exponent prime factors to calculate the LCM of 82934 and 82939.

LCM(82934,82939) = 21 × 414671 × 829391
LCM(82934,82939) = 6878463026