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What is the Least Common Multiple of 65686 and 65700?

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 65686 and 65700 is 2157785100.

LCM(65686,65700) = 2157785100

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Least Common Multiple of 65686 and 65700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65686 and 65700, than apply into the LCM equation.

GCF(65686,65700) = 2
LCM(65686,65700) = ( 65686 × 65700) / 2
LCM(65686,65700) = 4315570200 / 2
LCM(65686,65700) = 2157785100

Least Common Multiple (LCM) of 65686 and 65700 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65686 and 65700. First we will calculate the prime factors of 65686 and 65700.

Prime Factorization of 65686

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

65686 = 21 × 328431

Prime Factorization of 65700

Prime factors of 65700 are 2, 3, 5, 73. Prime factorization of 65700 in exponential form is:

65700 = 22 × 32 × 52 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 65686 and 65700.

LCM(65686,65700) = 22 × 328431 × 32 × 52 × 731
LCM(65686,65700) = 2157785100