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What is the Least Common Multiple of 65854 and 65865?

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 65854 and 65865 is 4337473710.

LCM(65854,65865) = 4337473710

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Least Common Multiple of 65854 and 65865 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65854 and 65865, than apply into the LCM equation.

GCF(65854,65865) = 1
LCM(65854,65865) = ( 65854 × 65865) / 1
LCM(65854,65865) = 4337473710 / 1
LCM(65854,65865) = 4337473710

Least Common Multiple (LCM) of 65854 and 65865 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65854 and 65865. First we will calculate the prime factors of 65854 and 65865.

Prime Factorization of 65854

Prime factors of 65854 are 2, 19, 1733. Prime factorization of 65854 in exponential form is:

65854 = 21 × 191 × 17331

Prime Factorization of 65865

Prime factors of 65865 are 3, 5, 4391. Prime factorization of 65865 in exponential form is:

65865 = 31 × 51 × 43911

Now multiplying the highest exponent prime factors to calculate the LCM of 65854 and 65865.

LCM(65854,65865) = 21 × 191 × 17331 × 31 × 51 × 43911
LCM(65854,65865) = 4337473710