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What is the Least Common Multiple of 69394 and 69408?

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 69394 and 69408 is 2408249376.

LCM(69394,69408) = 2408249376

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Least Common Multiple of 69394 and 69408 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69394 and 69408, than apply into the LCM equation.

GCF(69394,69408) = 2
LCM(69394,69408) = ( 69394 × 69408) / 2
LCM(69394,69408) = 4816498752 / 2
LCM(69394,69408) = 2408249376

Least Common Multiple (LCM) of 69394 and 69408 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69394 and 69408. First we will calculate the prime factors of 69394 and 69408.

Prime Factorization of 69394

Prime factors of 69394 are 2, 13, 17, 157. Prime factorization of 69394 in exponential form is:

69394 = 21 × 131 × 171 × 1571

Prime Factorization of 69408

Prime factors of 69408 are 2, 3, 241. Prime factorization of 69408 in exponential form is:

69408 = 25 × 32 × 2411

Now multiplying the highest exponent prime factors to calculate the LCM of 69394 and 69408.

LCM(69394,69408) = 25 × 131 × 171 × 1571 × 32 × 2411
LCM(69394,69408) = 2408249376