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What is the Least Common Multiple of 79481 and 79486?

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 79481 and 79486 is 6317626766.

LCM(79481,79486) = 6317626766

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Least Common Multiple of 79481 and 79486 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79481 and 79486, than apply into the LCM equation.

GCF(79481,79486) = 1
LCM(79481,79486) = ( 79481 × 79486) / 1
LCM(79481,79486) = 6317626766 / 1
LCM(79481,79486) = 6317626766

Least Common Multiple (LCM) of 79481 and 79486 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79481 and 79486. First we will calculate the prime factors of 79481 and 79486.

Prime Factorization of 79481

Prime factors of 79481 are 79481. Prime factorization of 79481 in exponential form is:

79481 = 794811

Prime Factorization of 79486

Prime factors of 79486 are 2, 11, 3613. Prime factorization of 79486 in exponential form is:

79486 = 21 × 111 × 36131

Now multiplying the highest exponent prime factors to calculate the LCM of 79481 and 79486.

LCM(79481,79486) = 794811 × 21 × 111 × 36131
LCM(79481,79486) = 6317626766