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What is the Least Common Multiple of 98322 and 98339?

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 98322 and 98339 is 9668887158.

LCM(98322,98339) = 9668887158

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Least Common Multiple of 98322 and 98339 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98322 and 98339, than apply into the LCM equation.

GCF(98322,98339) = 1
LCM(98322,98339) = ( 98322 × 98339) / 1
LCM(98322,98339) = 9668887158 / 1
LCM(98322,98339) = 9668887158

Least Common Multiple (LCM) of 98322 and 98339 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98322 and 98339. First we will calculate the prime factors of 98322 and 98339.

Prime Factorization of 98322

Prime factors of 98322 are 2, 3, 7, 2341. Prime factorization of 98322 in exponential form is:

98322 = 21 × 31 × 71 × 23411

Prime Factorization of 98339

Prime factors of 98339 are 29, 3391. Prime factorization of 98339 in exponential form is:

98339 = 291 × 33911

Now multiplying the highest exponent prime factors to calculate the LCM of 98322 and 98339.

LCM(98322,98339) = 21 × 31 × 71 × 23411 × 291 × 33911
LCM(98322,98339) = 9668887158