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What is the Least Common Multiple of 65706 and 65720?

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 65720 is 2159099160.

LCM(65706,65720) = 2159099160

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Least Common Multiple of 65706 and 65720 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 65720, than apply into the LCM equation.

GCF(65706,65720) = 2
LCM(65706,65720) = ( 65706 × 65720) / 2
LCM(65706,65720) = 4318198320 / 2
LCM(65706,65720) = 2159099160

Least Common Multiple (LCM) of 65706 and 65720 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65706 and 65720. First we will calculate the prime factors of 65706 and 65720.

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 65720

Prime factors of 65720 are 2, 5, 31, 53. Prime factorization of 65720 in exponential form is:

65720 = 23 × 51 × 311 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 65706 and 65720.

LCM(65706,65720) = 23 × 31 × 471 × 2331 × 51 × 311 × 531
LCM(65706,65720) = 2159099160