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What is the Least Common Multiple of 92717 and 92736?

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 92717 and 92736 is 8598203712.

LCM(92717,92736) = 8598203712

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Least Common Multiple of 92717 and 92736 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92717 and 92736, than apply into the LCM equation.

GCF(92717,92736) = 1
LCM(92717,92736) = ( 92717 × 92736) / 1
LCM(92717,92736) = 8598203712 / 1
LCM(92717,92736) = 8598203712

Least Common Multiple (LCM) of 92717 and 92736 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92717 and 92736. First we will calculate the prime factors of 92717 and 92736.

Prime Factorization of 92717

Prime factors of 92717 are 92717. Prime factorization of 92717 in exponential form is:

92717 = 927171

Prime Factorization of 92736

Prime factors of 92736 are 2, 3, 7, 23. Prime factorization of 92736 in exponential form is:

92736 = 26 × 32 × 71 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 92717 and 92736.

LCM(92717,92736) = 927171 × 26 × 32 × 71 × 231
LCM(92717,92736) = 8598203712