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What is the Least Common Multiple of 68389 and 68399?

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 68389 and 68399 is 4677739211.

LCM(68389,68399) = 4677739211

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Least Common Multiple of 68389 and 68399 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68389 and 68399, than apply into the LCM equation.

GCF(68389,68399) = 1
LCM(68389,68399) = ( 68389 × 68399) / 1
LCM(68389,68399) = 4677739211 / 1
LCM(68389,68399) = 4677739211

Least Common Multiple (LCM) of 68389 and 68399 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68389 and 68399. First we will calculate the prime factors of 68389 and 68399.

Prime Factorization of 68389

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

68389 = 683891

Prime Factorization of 68399

Prime factors of 68399 are 68399. Prime factorization of 68399 in exponential form is:

68399 = 683991

Now multiplying the highest exponent prime factors to calculate the LCM of 68389 and 68399.

LCM(68389,68399) = 683891 × 683991
LCM(68389,68399) = 4677739211