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What is the Least Common Multiple of 65838 and 65854?

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 65838 and 65854 is 2167847826.

LCM(65838,65854) = 2167847826

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Least Common Multiple of 65838 and 65854 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65838 and 65854, than apply into the LCM equation.

GCF(65838,65854) = 2
LCM(65838,65854) = ( 65838 × 65854) / 2
LCM(65838,65854) = 4335695652 / 2
LCM(65838,65854) = 2167847826

Least Common Multiple (LCM) of 65838 and 65854 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65838 and 65854. First we will calculate the prime factors of 65838 and 65854.

Prime Factorization of 65838

Prime factors of 65838 are 2, 3, 10973. Prime factorization of 65838 in exponential form is:

65838 = 21 × 31 × 109731

Prime Factorization of 65854

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

65854 = 21 × 191 × 17331

Now multiplying the highest exponent prime factors to calculate the LCM of 65838 and 65854.

LCM(65838,65854) = 21 × 31 × 109731 × 191 × 17331
LCM(65838,65854) = 2167847826