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What is the Least Common Multiple of 91817 and 91836?

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 91817 and 91836 is 8432106012.

LCM(91817,91836) = 8432106012

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Least Common Multiple of 91817 and 91836 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91817 and 91836, than apply into the LCM equation.

GCF(91817,91836) = 1
LCM(91817,91836) = ( 91817 × 91836) / 1
LCM(91817,91836) = 8432106012 / 1
LCM(91817,91836) = 8432106012

Least Common Multiple (LCM) of 91817 and 91836 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91817 and 91836. First we will calculate the prime factors of 91817 and 91836.

Prime Factorization of 91817

Prime factors of 91817 are 11, 17, 491. Prime factorization of 91817 in exponential form is:

91817 = 111 × 171 × 4911

Prime Factorization of 91836

Prime factors of 91836 are 2, 3, 2551. Prime factorization of 91836 in exponential form is:

91836 = 22 × 32 × 25511

Now multiplying the highest exponent prime factors to calculate the LCM of 91817 and 91836.

LCM(91817,91836) = 111 × 171 × 4911 × 22 × 32 × 25511
LCM(91817,91836) = 8432106012