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What is the Least Common Multiple of 91774 and 91791?

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 91774 and 91791 is 8424027234.

LCM(91774,91791) = 8424027234

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Least Common Multiple of 91774 and 91791 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91774 and 91791, than apply into the LCM equation.

GCF(91774,91791) = 1
LCM(91774,91791) = ( 91774 × 91791) / 1
LCM(91774,91791) = 8424027234 / 1
LCM(91774,91791) = 8424027234

Least Common Multiple (LCM) of 91774 and 91791 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91774 and 91791. First we will calculate the prime factors of 91774 and 91791.

Prime Factorization of 91774

Prime factors of 91774 are 2, 45887. Prime factorization of 91774 in exponential form is:

91774 = 21 × 458871

Prime Factorization of 91791

Prime factors of 91791 are 3, 7, 31, 47. Prime factorization of 91791 in exponential form is:

91791 = 32 × 71 × 311 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 91774 and 91791.

LCM(91774,91791) = 21 × 458871 × 32 × 71 × 311 × 471
LCM(91774,91791) = 8424027234