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What is the Least Common Multiple of 69481 and 69486?

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 69481 and 69486 is 4827956766.

LCM(69481,69486) = 4827956766

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Least Common Multiple of 69481 and 69486 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69481 and 69486, than apply into the LCM equation.

GCF(69481,69486) = 1
LCM(69481,69486) = ( 69481 × 69486) / 1
LCM(69481,69486) = 4827956766 / 1
LCM(69481,69486) = 4827956766

Least Common Multiple (LCM) of 69481 and 69486 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69481 and 69486. First we will calculate the prime factors of 69481 and 69486.

Prime Factorization of 69481

Prime factors of 69481 are 69481. Prime factorization of 69481 in exponential form is:

69481 = 694811

Prime Factorization of 69486

Prime factors of 69486 are 2, 3, 37, 313. Prime factorization of 69486 in exponential form is:

69486 = 21 × 31 × 371 × 3131

Now multiplying the highest exponent prime factors to calculate the LCM of 69481 and 69486.

LCM(69481,69486) = 694811 × 21 × 31 × 371 × 3131
LCM(69481,69486) = 4827956766