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What is the Least Common Multiple of 98390 and 98397?

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 98390 and 98397 is 9681280830.

LCM(98390,98397) = 9681280830

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Least Common Multiple of 98390 and 98397 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98390 and 98397, than apply into the LCM equation.

GCF(98390,98397) = 1
LCM(98390,98397) = ( 98390 × 98397) / 1
LCM(98390,98397) = 9681280830 / 1
LCM(98390,98397) = 9681280830

Least Common Multiple (LCM) of 98390 and 98397 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98390 and 98397. First we will calculate the prime factors of 98390 and 98397.

Prime Factorization of 98390

Prime factors of 98390 are 2, 5, 9839. Prime factorization of 98390 in exponential form is:

98390 = 21 × 51 × 98391

Prime Factorization of 98397

Prime factors of 98397 are 3, 13, 29. Prime factorization of 98397 in exponential form is:

98397 = 32 × 131 × 292

Now multiplying the highest exponent prime factors to calculate the LCM of 98390 and 98397.

LCM(98390,98397) = 21 × 51 × 98391 × 32 × 131 × 292
LCM(98390,98397) = 9681280830