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What is the Least Common Multiple of 91789 and 91793?

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 91789 and 91793 is 8425587677.

LCM(91789,91793) = 8425587677

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Least Common Multiple of 91789 and 91793 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91789 and 91793, than apply into the LCM equation.

GCF(91789,91793) = 1
LCM(91789,91793) = ( 91789 × 91793) / 1
LCM(91789,91793) = 8425587677 / 1
LCM(91789,91793) = 8425587677

Least Common Multiple (LCM) of 91789 and 91793 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91789 and 91793. First we will calculate the prime factors of 91789 and 91793.

Prime Factorization of 91789

Prime factors of 91789 are 19, 4831. Prime factorization of 91789 in exponential form is:

91789 = 191 × 48311

Prime Factorization of 91793

Prime factors of 91793 are 13, 23, 307. Prime factorization of 91793 in exponential form is:

91793 = 131 × 231 × 3071

Now multiplying the highest exponent prime factors to calculate the LCM of 91789 and 91793.

LCM(91789,91793) = 191 × 48311 × 131 × 231 × 3071
LCM(91789,91793) = 8425587677