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What is the Least Common Multiple of 65601 and 65617?

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 65601 and 65617 is 4304540817.

LCM(65601,65617) = 4304540817

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Least Common Multiple of 65601 and 65617 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65601 and 65617, than apply into the LCM equation.

GCF(65601,65617) = 1
LCM(65601,65617) = ( 65601 × 65617) / 1
LCM(65601,65617) = 4304540817 / 1
LCM(65601,65617) = 4304540817

Least Common Multiple (LCM) of 65601 and 65617 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65601 and 65617. First we will calculate the prime factors of 65601 and 65617.

Prime Factorization of 65601

Prime factors of 65601 are 3, 37, 197. Prime factorization of 65601 in exponential form is:

65601 = 32 × 371 × 1971

Prime Factorization of 65617

Prime factors of 65617 are 65617. Prime factorization of 65617 in exponential form is:

65617 = 656171

Now multiplying the highest exponent prime factors to calculate the LCM of 65601 and 65617.

LCM(65601,65617) = 32 × 371 × 1971 × 656171
LCM(65601,65617) = 4304540817