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What is the Least Common Multiple of 92908 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 92908 and 92914 is 4316226956.

LCM(92908,92914) = 4316226956

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Least Common Multiple of 92908 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 92908 and 92914, than apply into the LCM equation.

GCF(92908,92914) = 2
LCM(92908,92914) = ( 92908 × 92914) / 2
LCM(92908,92914) = 8632453912 / 2
LCM(92908,92914) = 4316226956

Least Common Multiple (LCM) of 92908 and 92914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92908 and 92914. First we will calculate the prime factors of 92908 and 92914.

Prime Factorization of 92908

Prime factors of 92908 are 2, 23227. Prime factorization of 92908 in exponential form is:

92908 = 22 × 232271

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 92908 and 92914.

LCM(92908,92914) = 22 × 232271 × 464571
LCM(92908,92914) = 4316226956