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What is the Least Common Multiple of 92903 and 92914?

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 92903 and 92914 is 8631989342.

LCM(92903,92914) = 8631989342

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Least Common Multiple of 92903 and 92914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92903 and 92914, than apply into the LCM equation.

GCF(92903,92914) = 1
LCM(92903,92914) = ( 92903 × 92914) / 1
LCM(92903,92914) = 8631989342 / 1
LCM(92903,92914) = 8631989342

Least Common Multiple (LCM) of 92903 and 92914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92903 and 92914. First we will calculate the prime factors of 92903 and 92914.

Prime Factorization of 92903

Prime factors of 92903 are 61, 1523. Prime factorization of 92903 in exponential form is:

92903 = 611 × 15231

Prime Factorization of 92914

Prime factors of 92914 are 2, 46457. Prime factorization of 92914 in exponential form is:

92914 = 21 × 464571

Now multiplying the highest exponent prime factors to calculate the LCM of 92903 and 92914.

LCM(92903,92914) = 611 × 15231 × 21 × 464571
LCM(92903,92914) = 8631989342