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What is the Least Common Multiple of 98287 and 98293?

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 98287 and 98293 is 9660924091.

LCM(98287,98293) = 9660924091

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Least Common Multiple of 98287 and 98293 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98287 and 98293, than apply into the LCM equation.

GCF(98287,98293) = 1
LCM(98287,98293) = ( 98287 × 98293) / 1
LCM(98287,98293) = 9660924091 / 1
LCM(98287,98293) = 9660924091

Least Common Multiple (LCM) of 98287 and 98293 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98287 and 98293. First we will calculate the prime factors of 98287 and 98293.

Prime Factorization of 98287

Prime factors of 98287 are 7, 19, 739. Prime factorization of 98287 in exponential form is:

98287 = 71 × 191 × 7391

Prime Factorization of 98293

Prime factors of 98293 are 13, 7561. Prime factorization of 98293 in exponential form is:

98293 = 131 × 75611

Now multiplying the highest exponent prime factors to calculate the LCM of 98287 and 98293.

LCM(98287,98293) = 71 × 191 × 7391 × 131 × 75611
LCM(98287,98293) = 9660924091