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What is the Least Common Multiple of 68382 and 68389?

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 68382 and 68389 is 4676576598.

LCM(68382,68389) = 4676576598

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Least Common Multiple of 68382 and 68389 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68382 and 68389, than apply into the LCM equation.

GCF(68382,68389) = 1
LCM(68382,68389) = ( 68382 × 68389) / 1
LCM(68382,68389) = 4676576598 / 1
LCM(68382,68389) = 4676576598

Least Common Multiple (LCM) of 68382 and 68389 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68382 and 68389. First we will calculate the prime factors of 68382 and 68389.

Prime Factorization of 68382

Prime factors of 68382 are 2, 3, 29, 131. Prime factorization of 68382 in exponential form is:

68382 = 21 × 32 × 291 × 1311

Prime Factorization of 68389

Prime factors of 68389 are 68389. Prime factorization of 68389 in exponential form is:

68389 = 683891

Now multiplying the highest exponent prime factors to calculate the LCM of 68382 and 68389.

LCM(68382,68389) = 21 × 32 × 291 × 1311 × 683891
LCM(68382,68389) = 4676576598