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What is the Least Common Multiple of 92665 and 92679?

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 92665 and 92679 is 8588099535.

LCM(92665,92679) = 8588099535

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Least Common Multiple of 92665 and 92679 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92665 and 92679, than apply into the LCM equation.

GCF(92665,92679) = 1
LCM(92665,92679) = ( 92665 × 92679) / 1
LCM(92665,92679) = 8588099535 / 1
LCM(92665,92679) = 8588099535

Least Common Multiple (LCM) of 92665 and 92679 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92665 and 92679. First we will calculate the prime factors of 92665 and 92679.

Prime Factorization of 92665

Prime factors of 92665 are 5, 43, 431. Prime factorization of 92665 in exponential form is:

92665 = 51 × 431 × 4311

Prime Factorization of 92679

Prime factors of 92679 are 3, 30893. Prime factorization of 92679 in exponential form is:

92679 = 31 × 308931

Now multiplying the highest exponent prime factors to calculate the LCM of 92665 and 92679.

LCM(92665,92679) = 51 × 431 × 4311 × 31 × 308931
LCM(92665,92679) = 8588099535