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What is the Least Common Multiple of 91481 and 91499?

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 91481 and 91499 is 8370420019.

LCM(91481,91499) = 8370420019

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Least Common Multiple of 91481 and 91499 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91481 and 91499, than apply into the LCM equation.

GCF(91481,91499) = 1
LCM(91481,91499) = ( 91481 × 91499) / 1
LCM(91481,91499) = 8370420019 / 1
LCM(91481,91499) = 8370420019

Least Common Multiple (LCM) of 91481 and 91499 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91481 and 91499. First we will calculate the prime factors of 91481 and 91499.

Prime Factorization of 91481

Prime factors of 91481 are 13, 31, 227. Prime factorization of 91481 in exponential form is:

91481 = 131 × 311 × 2271

Prime Factorization of 91499

Prime factors of 91499 are 91499. Prime factorization of 91499 in exponential form is:

91499 = 914991

Now multiplying the highest exponent prime factors to calculate the LCM of 91481 and 91499.

LCM(91481,91499) = 131 × 311 × 2271 × 914991
LCM(91481,91499) = 8370420019