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What is the Least Common Multiple of 92707 and 92713?

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 92707 and 92713 is 8595144091.

LCM(92707,92713) = 8595144091

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Least Common Multiple of 92707 and 92713 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92707 and 92713, than apply into the LCM equation.

GCF(92707,92713) = 1
LCM(92707,92713) = ( 92707 × 92713) / 1
LCM(92707,92713) = 8595144091 / 1
LCM(92707,92713) = 8595144091

Least Common Multiple (LCM) of 92707 and 92713 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92707 and 92713. First we will calculate the prime factors of 92707 and 92713.

Prime Factorization of 92707

Prime factors of 92707 are 92707. Prime factorization of 92707 in exponential form is:

92707 = 927071

Prime Factorization of 92713

Prime factors of 92713 are 23, 29, 139. Prime factorization of 92713 in exponential form is:

92713 = 231 × 291 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 92707 and 92713.

LCM(92707,92713) = 927071 × 231 × 291 × 1391
LCM(92707,92713) = 8595144091