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What is the Least Common Multiple of 91794 and 91805?

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 91794 and 91805 is 8427148170.

LCM(91794,91805) = 8427148170

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Least Common Multiple of 91794 and 91805 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91794 and 91805, than apply into the LCM equation.

GCF(91794,91805) = 1
LCM(91794,91805) = ( 91794 × 91805) / 1
LCM(91794,91805) = 8427148170 / 1
LCM(91794,91805) = 8427148170

Least Common Multiple (LCM) of 91794 and 91805 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91794 and 91805. First we will calculate the prime factors of 91794 and 91805.

Prime Factorization of 91794

Prime factors of 91794 are 2, 3, 15299. Prime factorization of 91794 in exponential form is:

91794 = 21 × 31 × 152991

Prime Factorization of 91805

Prime factors of 91805 are 5, 7, 43, 61. Prime factorization of 91805 in exponential form is:

91805 = 51 × 71 × 431 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 91794 and 91805.

LCM(91794,91805) = 21 × 31 × 152991 × 51 × 71 × 431 × 611
LCM(91794,91805) = 8427148170