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What is the Least Common Multiple of 69382 and 69394?

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 69382 and 69394 is 2407347254.

LCM(69382,69394) = 2407347254

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Least Common Multiple of 69382 and 69394 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69382 and 69394, than apply into the LCM equation.

GCF(69382,69394) = 2
LCM(69382,69394) = ( 69382 × 69394) / 2
LCM(69382,69394) = 4814694508 / 2
LCM(69382,69394) = 2407347254

Least Common Multiple (LCM) of 69382 and 69394 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69382 and 69394. First we will calculate the prime factors of 69382 and 69394.

Prime Factorization of 69382

Prime factors of 69382 are 2, 113, 307. Prime factorization of 69382 in exponential form is:

69382 = 21 × 1131 × 3071

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

Now multiplying the highest exponent prime factors to calculate the LCM of 69382 and 69394.

LCM(69382,69394) = 21 × 1131 × 3071 × 131 × 171 × 1571
LCM(69382,69394) = 2407347254