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What is the Least Common Multiple of 92873 and 92892?

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 92873 and 92892 is 8627158716.

LCM(92873,92892) = 8627158716

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Least Common Multiple of 92873 and 92892 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92873 and 92892, than apply into the LCM equation.

GCF(92873,92892) = 1
LCM(92873,92892) = ( 92873 × 92892) / 1
LCM(92873,92892) = 8627158716 / 1
LCM(92873,92892) = 8627158716

Least Common Multiple (LCM) of 92873 and 92892 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92873 and 92892. First we will calculate the prime factors of 92873 and 92892.

Prime Factorization of 92873

Prime factors of 92873 are 11, 8443. Prime factorization of 92873 in exponential form is:

92873 = 111 × 84431

Prime Factorization of 92892

Prime factors of 92892 are 2, 3, 7741. Prime factorization of 92892 in exponential form is:

92892 = 22 × 31 × 77411

Now multiplying the highest exponent prime factors to calculate the LCM of 92873 and 92892.

LCM(92873,92892) = 111 × 84431 × 22 × 31 × 77411
LCM(92873,92892) = 8627158716