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What is the Least Common Multiple of 65667 and 65686?

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 65667 and 65686 is 4313402562.

LCM(65667,65686) = 4313402562

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Least Common Multiple of 65667 and 65686 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65667 and 65686, than apply into the LCM equation.

GCF(65667,65686) = 1
LCM(65667,65686) = ( 65667 × 65686) / 1
LCM(65667,65686) = 4313402562 / 1
LCM(65667,65686) = 4313402562

Least Common Multiple (LCM) of 65667 and 65686 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65667 and 65686. First we will calculate the prime factors of 65667 and 65686.

Prime Factorization of 65667

Prime factors of 65667 are 3, 7, 53, 59. Prime factorization of 65667 in exponential form is:

65667 = 31 × 71 × 531 × 591

Prime Factorization of 65686

Prime factors of 65686 are 2, 32843. Prime factorization of 65686 in exponential form is:

65686 = 21 × 328431

Now multiplying the highest exponent prime factors to calculate the LCM of 65667 and 65686.

LCM(65667,65686) = 31 × 71 × 531 × 591 × 21 × 328431
LCM(65667,65686) = 4313402562