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What is the Least Common Multiple of 91881 and 91890?

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 91890 is 938105010.

LCM(91881,91890) = 938105010

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Least Common Multiple of 91881 and 91890 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 91890, than apply into the LCM equation.

GCF(91881,91890) = 9
LCM(91881,91890) = ( 91881 × 91890) / 9
LCM(91881,91890) = 8442945090 / 9
LCM(91881,91890) = 938105010

Least Common Multiple (LCM) of 91881 and 91890 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91881 and 91890. First we will calculate the prime factors of 91881 and 91890.

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 91890

Prime factors of 91890 are 2, 3, 5, 1021. Prime factorization of 91890 in exponential form is:

91890 = 21 × 32 × 51 × 10211

Now multiplying the highest exponent prime factors to calculate the LCM of 91881 and 91890.

LCM(91881,91890) = 33 × 411 × 831 × 21 × 51 × 10211
LCM(91881,91890) = 938105010