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What is the Least Common Multiple of 65856 and 65869?

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 65856 and 65869 is 4337868864.

LCM(65856,65869) = 4337868864

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Least Common Multiple of 65856 and 65869 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65856 and 65869, than apply into the LCM equation.

GCF(65856,65869) = 1
LCM(65856,65869) = ( 65856 × 65869) / 1
LCM(65856,65869) = 4337868864 / 1
LCM(65856,65869) = 4337868864

Least Common Multiple (LCM) of 65856 and 65869 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65856 and 65869. First we will calculate the prime factors of 65856 and 65869.

Prime Factorization of 65856

Prime factors of 65856 are 2, 3, 7. Prime factorization of 65856 in exponential form is:

65856 = 26 × 31 × 73

Prime Factorization of 65869

Prime factors of 65869 are 199, 331. Prime factorization of 65869 in exponential form is:

65869 = 1991 × 3311

Now multiplying the highest exponent prime factors to calculate the LCM of 65856 and 65869.

LCM(65856,65869) = 26 × 31 × 73 × 1991 × 3311
LCM(65856,65869) = 4337868864