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What is the Least Common Multiple of 91881 and 91899?

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 91899 is 938196891.

LCM(91881,91899) = 938196891

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Least Common Multiple of 91881 and 91899 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 91899, than apply into the LCM equation.

GCF(91881,91899) = 9
LCM(91881,91899) = ( 91881 × 91899) / 9
LCM(91881,91899) = 8443772019 / 9
LCM(91881,91899) = 938196891

Least Common Multiple (LCM) of 91881 and 91899 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91881 and 91899. First we will calculate the prime factors of 91881 and 91899.

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 91899

Prime factors of 91899 are 3, 10211. Prime factorization of 91899 in exponential form is:

91899 = 32 × 102111

Now multiplying the highest exponent prime factors to calculate the LCM of 91881 and 91899.

LCM(91881,91899) = 33 × 411 × 831 × 102111
LCM(91881,91899) = 938196891