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What is the Least Common Multiple of 92877 and 92896?

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 92877 and 92896 is 8627901792.

LCM(92877,92896) = 8627901792

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Least Common Multiple of 92877 and 92896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92877 and 92896, than apply into the LCM equation.

GCF(92877,92896) = 1
LCM(92877,92896) = ( 92877 × 92896) / 1
LCM(92877,92896) = 8627901792 / 1
LCM(92877,92896) = 8627901792

Least Common Multiple (LCM) of 92877 and 92896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92877 and 92896. First we will calculate the prime factors of 92877 and 92896.

Prime Factorization of 92877

Prime factors of 92877 are 3, 83, 373. Prime factorization of 92877 in exponential form is:

92877 = 31 × 831 × 3731

Prime Factorization of 92896

Prime factors of 92896 are 2, 2903. Prime factorization of 92896 in exponential form is:

92896 = 25 × 29031

Now multiplying the highest exponent prime factors to calculate the LCM of 92877 and 92896.

LCM(92877,92896) = 31 × 831 × 3731 × 25 × 29031
LCM(92877,92896) = 8627901792