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What is the Least Common Multiple of 98397 and 98411?

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 98397 and 98411 is 9683347167.

LCM(98397,98411) = 9683347167

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Least Common Multiple of 98397 and 98411 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98397 and 98411, than apply into the LCM equation.

GCF(98397,98411) = 1
LCM(98397,98411) = ( 98397 × 98411) / 1
LCM(98397,98411) = 9683347167 / 1
LCM(98397,98411) = 9683347167

Least Common Multiple (LCM) of 98397 and 98411 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98397 and 98411. First we will calculate the prime factors of 98397 and 98411.

Prime Factorization of 98397

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

98397 = 32 × 131 × 292

Prime Factorization of 98411

Prime factors of 98411 are 98411. Prime factorization of 98411 in exponential form is:

98411 = 984111

Now multiplying the highest exponent prime factors to calculate the LCM of 98397 and 98411.

LCM(98397,98411) = 32 × 131 × 292 × 984111
LCM(98397,98411) = 9683347167