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What is the Least Common Multiple of 65831 and 65851?

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 65831 and 65851 is 4335037181.

LCM(65831,65851) = 4335037181

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Least Common Multiple of 65831 and 65851 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65831 and 65851, than apply into the LCM equation.

GCF(65831,65851) = 1
LCM(65831,65851) = ( 65831 × 65851) / 1
LCM(65831,65851) = 4335037181 / 1
LCM(65831,65851) = 4335037181

Least Common Multiple (LCM) of 65831 and 65851 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65831 and 65851. First we will calculate the prime factors of 65831 and 65851.

Prime Factorization of 65831

Prime factors of 65831 are 65831. Prime factorization of 65831 in exponential form is:

65831 = 658311

Prime Factorization of 65851

Prime factors of 65851 are 65851. Prime factorization of 65851 in exponential form is:

65851 = 658511

Now multiplying the highest exponent prime factors to calculate the LCM of 65831 and 65851.

LCM(65831,65851) = 658311 × 658511
LCM(65831,65851) = 4335037181