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What is the Least Common Multiple of 76834 and 76839?

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 76834 and 76839 is 5903847726.

LCM(76834,76839) = 5903847726

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Least Common Multiple of 76834 and 76839 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76834 and 76839, than apply into the LCM equation.

GCF(76834,76839) = 1
LCM(76834,76839) = ( 76834 × 76839) / 1
LCM(76834,76839) = 5903847726 / 1
LCM(76834,76839) = 5903847726

Least Common Multiple (LCM) of 76834 and 76839 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76834 and 76839. First we will calculate the prime factors of 76834 and 76839.

Prime Factorization of 76834

Prime factors of 76834 are 2, 41, 937. Prime factorization of 76834 in exponential form is:

76834 = 21 × 411 × 9371

Prime Factorization of 76839

Prime factors of 76839 are 3, 7, 3659. Prime factorization of 76839 in exponential form is:

76839 = 31 × 71 × 36591

Now multiplying the highest exponent prime factors to calculate the LCM of 76834 and 76839.

LCM(76834,76839) = 21 × 411 × 9371 × 31 × 71 × 36591
LCM(76834,76839) = 5903847726