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What is the Least Common Multiple of 91881 and 91896?

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 91881 and 91896 is 2814498792.

LCM(91881,91896) = 2814498792

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Least Common Multiple of 91881 and 91896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91881 and 91896, than apply into the LCM equation.

GCF(91881,91896) = 3
LCM(91881,91896) = ( 91881 × 91896) / 3
LCM(91881,91896) = 8443496376 / 3
LCM(91881,91896) = 2814498792

Least Common Multiple (LCM) of 91881 and 91896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91881 and 91896. First we will calculate the prime factors of 91881 and 91896.

Prime Factorization of 91881

Prime factors of 91881 are 3, 41, 83. Prime factorization of 91881 in exponential form is:

91881 = 33 × 411 × 831

Prime Factorization of 91896

Prime factors of 91896 are 2, 3, 7, 547. Prime factorization of 91896 in exponential form is:

91896 = 23 × 31 × 71 × 5471

Now multiplying the highest exponent prime factors to calculate the LCM of 91881 and 91896.

LCM(91881,91896) = 33 × 411 × 831 × 23 × 71 × 5471
LCM(91881,91896) = 2814498792