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What is the Least Common Multiple of 82319 and 82329?

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 82319 and 82329 is 6777240951.

LCM(82319,82329) = 6777240951

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Least Common Multiple of 82319 and 82329 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82319 and 82329, than apply into the LCM equation.

GCF(82319,82329) = 1
LCM(82319,82329) = ( 82319 × 82329) / 1
LCM(82319,82329) = 6777240951 / 1
LCM(82319,82329) = 6777240951

Least Common Multiple (LCM) of 82319 and 82329 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82319 and 82329. First we will calculate the prime factors of 82319 and 82329.

Prime Factorization of 82319

Prime factors of 82319 are 263, 313. Prime factorization of 82319 in exponential form is:

82319 = 2631 × 3131

Prime Factorization of 82329

Prime factors of 82329 are 3, 13, 2111. Prime factorization of 82329 in exponential form is:

82329 = 31 × 131 × 21111

Now multiplying the highest exponent prime factors to calculate the LCM of 82319 and 82329.

LCM(82319,82329) = 2631 × 3131 × 31 × 131 × 21111
LCM(82319,82329) = 6777240951