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What is the Least Common Multiple of 65857 and 65866?

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 65857 and 65866 is 4337737162.

LCM(65857,65866) = 4337737162

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Least Common Multiple of 65857 and 65866 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65857 and 65866, than apply into the LCM equation.

GCF(65857,65866) = 1
LCM(65857,65866) = ( 65857 × 65866) / 1
LCM(65857,65866) = 4337737162 / 1
LCM(65857,65866) = 4337737162

Least Common Multiple (LCM) of 65857 and 65866 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65857 and 65866. First we will calculate the prime factors of 65857 and 65866.

Prime Factorization of 65857

Prime factors of 65857 are 11, 5987. Prime factorization of 65857 in exponential form is:

65857 = 111 × 59871

Prime Factorization of 65866

Prime factors of 65866 are 2, 32933. Prime factorization of 65866 in exponential form is:

65866 = 21 × 329331

Now multiplying the highest exponent prime factors to calculate the LCM of 65857 and 65866.

LCM(65857,65866) = 111 × 59871 × 21 × 329331
LCM(65857,65866) = 4337737162