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What is the Least Common Multiple of 91806 and 91819?

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 91806 and 91819 is 648425778.

LCM(91806,91819) = 648425778

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Least Common Multiple of 91806 and 91819 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91806 and 91819, than apply into the LCM equation.

GCF(91806,91819) = 13
LCM(91806,91819) = ( 91806 × 91819) / 13
LCM(91806,91819) = 8429535114 / 13
LCM(91806,91819) = 648425778

Least Common Multiple (LCM) of 91806 and 91819 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91806 and 91819. First we will calculate the prime factors of 91806 and 91819.

Prime Factorization of 91806

Prime factors of 91806 are 2, 3, 11, 13, 107. Prime factorization of 91806 in exponential form is:

91806 = 21 × 31 × 111 × 131 × 1071

Prime Factorization of 91819

Prime factors of 91819 are 7, 13, 1009. Prime factorization of 91819 in exponential form is:

91819 = 71 × 131 × 10091

Now multiplying the highest exponent prime factors to calculate the LCM of 91806 and 91819.

LCM(91806,91819) = 21 × 31 × 111 × 131 × 1071 × 71 × 10091
LCM(91806,91819) = 648425778