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What is the Least Common Multiple of 92259 and 92273?

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 92259 and 92273 is 8513014707.

LCM(92259,92273) = 8513014707

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Least Common Multiple of 92259 and 92273 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92259 and 92273, than apply into the LCM equation.

GCF(92259,92273) = 1
LCM(92259,92273) = ( 92259 × 92273) / 1
LCM(92259,92273) = 8513014707 / 1
LCM(92259,92273) = 8513014707

Least Common Multiple (LCM) of 92259 and 92273 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92259 and 92273. First we will calculate the prime factors of 92259 and 92273.

Prime Factorization of 92259

Prime factors of 92259 are 3, 17, 67. Prime factorization of 92259 in exponential form is:

92259 = 34 × 171 × 671

Prime Factorization of 92273

Prime factors of 92273 are 53, 1741. Prime factorization of 92273 in exponential form is:

92273 = 531 × 17411

Now multiplying the highest exponent prime factors to calculate the LCM of 92259 and 92273.

LCM(92259,92273) = 34 × 171 × 671 × 531 × 17411
LCM(92259,92273) = 8513014707