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What is the Least Common Multiple of 79597 and 79606?

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 79597 and 79606 is 6336398782.

LCM(79597,79606) = 6336398782

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Least Common Multiple of 79597 and 79606 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79597 and 79606, than apply into the LCM equation.

GCF(79597,79606) = 1
LCM(79597,79606) = ( 79597 × 79606) / 1
LCM(79597,79606) = 6336398782 / 1
LCM(79597,79606) = 6336398782

Least Common Multiple (LCM) of 79597 and 79606 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79597 and 79606. First we will calculate the prime factors of 79597 and 79606.

Prime Factorization of 79597

Prime factors of 79597 are 7, 83, 137. Prime factorization of 79597 in exponential form is:

79597 = 71 × 831 × 1371

Prime Factorization of 79606

Prime factors of 79606 are 2, 53, 751. Prime factorization of 79606 in exponential form is:

79606 = 21 × 531 × 7511

Now multiplying the highest exponent prime factors to calculate the LCM of 79597 and 79606.

LCM(79597,79606) = 71 × 831 × 1371 × 21 × 531 × 7511
LCM(79597,79606) = 6336398782