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What is the Least Common Multiple of 91494 and 91511?

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 91494 and 91511 is 492512202.

LCM(91494,91511) = 492512202

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Least Common Multiple of 91494 and 91511 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91494 and 91511, than apply into the LCM equation.

GCF(91494,91511) = 17
LCM(91494,91511) = ( 91494 × 91511) / 17
LCM(91494,91511) = 8372707434 / 17
LCM(91494,91511) = 492512202

Least Common Multiple (LCM) of 91494 and 91511 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91494 and 91511. First we will calculate the prime factors of 91494 and 91511.

Prime Factorization of 91494

Prime factors of 91494 are 2, 3, 13, 17, 23. Prime factorization of 91494 in exponential form is:

91494 = 21 × 32 × 131 × 171 × 231

Prime Factorization of 91511

Prime factors of 91511 are 7, 17, 769. Prime factorization of 91511 in exponential form is:

91511 = 71 × 171 × 7691

Now multiplying the highest exponent prime factors to calculate the LCM of 91494 and 91511.

LCM(91494,91511) = 21 × 32 × 131 × 171 × 231 × 71 × 7691
LCM(91494,91511) = 492512202