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What is the Least Common Multiple of 91789 and 91794?

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 91794 is 8425679466.

LCM(91789,91794) = 8425679466

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Least Common Multiple of 91789 and 91794 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 91794, than apply into the LCM equation.

GCF(91789,91794) = 1
LCM(91789,91794) = ( 91789 × 91794) / 1
LCM(91789,91794) = 8425679466 / 1
LCM(91789,91794) = 8425679466

Least Common Multiple (LCM) of 91789 and 91794 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91789 and 91794. First we will calculate the prime factors of 91789 and 91794.

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 91794

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

91794 = 21 × 31 × 152991

Now multiplying the highest exponent prime factors to calculate the LCM of 91789 and 91794.

LCM(91789,91794) = 191 × 48311 × 21 × 31 × 152991
LCM(91789,91794) = 8425679466