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What is the Least Common Multiple of 92279 and 92298?

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 92279 and 92298 is 8517167142.

LCM(92279,92298) = 8517167142

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Least Common Multiple of 92279 and 92298 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92279 and 92298, than apply into the LCM equation.

GCF(92279,92298) = 1
LCM(92279,92298) = ( 92279 × 92298) / 1
LCM(92279,92298) = 8517167142 / 1
LCM(92279,92298) = 8517167142

Least Common Multiple (LCM) of 92279 and 92298 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92279 and 92298. First we will calculate the prime factors of 92279 and 92298.

Prime Factorization of 92279

Prime factors of 92279 are 11, 8389. Prime factorization of 92279 in exponential form is:

92279 = 111 × 83891

Prime Factorization of 92298

Prime factors of 92298 are 2, 3, 15383. Prime factorization of 92298 in exponential form is:

92298 = 21 × 31 × 153831

Now multiplying the highest exponent prime factors to calculate the LCM of 92279 and 92298.

LCM(92279,92298) = 111 × 83891 × 21 × 31 × 153831
LCM(92279,92298) = 8517167142