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What is the Least Common Multiple of 69394 and 69414?

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 69414 is 2408457558.

LCM(69394,69414) = 2408457558

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Least Common Multiple of 69394 and 69414 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 69414, than apply into the LCM equation.

GCF(69394,69414) = 2
LCM(69394,69414) = ( 69394 × 69414) / 2
LCM(69394,69414) = 4816915116 / 2
LCM(69394,69414) = 2408457558

Least Common Multiple (LCM) of 69394 and 69414 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69394 and 69414. First we will calculate the prime factors of 69394 and 69414.

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 69414

Prime factors of 69414 are 2, 3, 23, 503. Prime factorization of 69414 in exponential form is:

69414 = 21 × 31 × 231 × 5031

Now multiplying the highest exponent prime factors to calculate the LCM of 69394 and 69414.

LCM(69394,69414) = 21 × 131 × 171 × 1571 × 31 × 231 × 5031
LCM(69394,69414) = 2408457558