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What is the Least Common Multiple of 68394 and 68404?

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 68394 and 68404 is 2339211588.

LCM(68394,68404) = 2339211588

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Least Common Multiple of 68394 and 68404 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68394 and 68404, than apply into the LCM equation.

GCF(68394,68404) = 2
LCM(68394,68404) = ( 68394 × 68404) / 2
LCM(68394,68404) = 4678423176 / 2
LCM(68394,68404) = 2339211588

Least Common Multiple (LCM) of 68394 and 68404 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68394 and 68404. First we will calculate the prime factors of 68394 and 68404.

Prime Factorization of 68394

Prime factors of 68394 are 2, 3, 11399. Prime factorization of 68394 in exponential form is:

68394 = 21 × 31 × 113991

Prime Factorization of 68404

Prime factors of 68404 are 2, 7, 349. Prime factorization of 68404 in exponential form is:

68404 = 22 × 72 × 3491

Now multiplying the highest exponent prime factors to calculate the LCM of 68394 and 68404.

LCM(68394,68404) = 22 × 31 × 113991 × 72 × 3491
LCM(68394,68404) = 2339211588