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What is the Least Common Multiple of 82308 and 82319?

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 82308 and 82319 is 6775512252.

LCM(82308,82319) = 6775512252

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Least Common Multiple of 82308 and 82319 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82308 and 82319, than apply into the LCM equation.

GCF(82308,82319) = 1
LCM(82308,82319) = ( 82308 × 82319) / 1
LCM(82308,82319) = 6775512252 / 1
LCM(82308,82319) = 6775512252

Least Common Multiple (LCM) of 82308 and 82319 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82308 and 82319. First we will calculate the prime factors of 82308 and 82319.

Prime Factorization of 82308

Prime factors of 82308 are 2, 3, 19. Prime factorization of 82308 in exponential form is:

82308 = 22 × 31 × 193

Prime Factorization of 82319

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

82319 = 2631 × 3131

Now multiplying the highest exponent prime factors to calculate the LCM of 82308 and 82319.

LCM(82308,82319) = 22 × 31 × 193 × 2631 × 3131
LCM(82308,82319) = 6775512252