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What is the Least Common Multiple of 91766 and 91785?

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 91766 and 91785 is 8422742310.

LCM(91766,91785) = 8422742310

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Least Common Multiple of 91766 and 91785 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91766 and 91785, than apply into the LCM equation.

GCF(91766,91785) = 1
LCM(91766,91785) = ( 91766 × 91785) / 1
LCM(91766,91785) = 8422742310 / 1
LCM(91766,91785) = 8422742310

Least Common Multiple (LCM) of 91766 and 91785 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91766 and 91785. First we will calculate the prime factors of 91766 and 91785.

Prime Factorization of 91766

Prime factors of 91766 are 2, 17, 2699. Prime factorization of 91766 in exponential form is:

91766 = 21 × 171 × 26991

Prime Factorization of 91785

Prime factors of 91785 are 3, 5, 29, 211. Prime factorization of 91785 in exponential form is:

91785 = 31 × 51 × 291 × 2111

Now multiplying the highest exponent prime factors to calculate the LCM of 91766 and 91785.

LCM(91766,91785) = 21 × 171 × 26991 × 31 × 51 × 291 × 2111
LCM(91766,91785) = 8422742310