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What is the Least Common Multiple of 98287 and 98302?

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 98302 is 9661808674.

LCM(98287,98302) = 9661808674

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Least Common Multiple of 98287 and 98302 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 98302, than apply into the LCM equation.

GCF(98287,98302) = 1
LCM(98287,98302) = ( 98287 × 98302) / 1
LCM(98287,98302) = 9661808674 / 1
LCM(98287,98302) = 9661808674

Least Common Multiple (LCM) of 98287 and 98302 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98287 and 98302. First we will calculate the prime factors of 98287 and 98302.

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 98302

Prime factors of 98302 are 2, 23, 2137. Prime factorization of 98302 in exponential form is:

98302 = 21 × 231 × 21371

Now multiplying the highest exponent prime factors to calculate the LCM of 98287 and 98302.

LCM(98287,98302) = 71 × 191 × 7391 × 21 × 231 × 21371
LCM(98287,98302) = 9661808674