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What is the Least Common Multiple of 65706 and 65721?

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 65706 and 65721 is 1439421342.

LCM(65706,65721) = 1439421342

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Least Common Multiple of 65706 and 65721 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65706 and 65721, than apply into the LCM equation.

GCF(65706,65721) = 3
LCM(65706,65721) = ( 65706 × 65721) / 3
LCM(65706,65721) = 4318264026 / 3
LCM(65706,65721) = 1439421342

Least Common Multiple (LCM) of 65706 and 65721 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65706 and 65721. First we will calculate the prime factors of 65706 and 65721.

Prime Factorization of 65706

Prime factors of 65706 are 2, 3, 47, 233. Prime factorization of 65706 in exponential form is:

65706 = 21 × 31 × 471 × 2331

Prime Factorization of 65721

Prime factors of 65721 are 3, 19, 1153. Prime factorization of 65721 in exponential form is:

65721 = 31 × 191 × 11531

Now multiplying the highest exponent prime factors to calculate the LCM of 65706 and 65721.

LCM(65706,65721) = 21 × 31 × 471 × 2331 × 191 × 11531
LCM(65706,65721) = 1439421342