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What is the Least Common Multiple of 91497 and 91510?

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 91497 and 91510 is 8372890470.

LCM(91497,91510) = 8372890470

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Least Common Multiple of 91497 and 91510 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91497 and 91510, than apply into the LCM equation.

GCF(91497,91510) = 1
LCM(91497,91510) = ( 91497 × 91510) / 1
LCM(91497,91510) = 8372890470 / 1
LCM(91497,91510) = 8372890470

Least Common Multiple (LCM) of 91497 and 91510 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91497 and 91510. First we will calculate the prime factors of 91497 and 91510.

Prime Factorization of 91497

Prime factors of 91497 are 3, 7, 4357. Prime factorization of 91497 in exponential form is:

91497 = 31 × 71 × 43571

Prime Factorization of 91510

Prime factors of 91510 are 2, 5, 9151. Prime factorization of 91510 in exponential form is:

91510 = 21 × 51 × 91511

Now multiplying the highest exponent prime factors to calculate the LCM of 91497 and 91510.

LCM(91497,91510) = 31 × 71 × 43571 × 21 × 51 × 91511
LCM(91497,91510) = 8372890470