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What is the Least Common Multiple of 98263 and 98279?

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 98263 and 98279 is 9657189377.

LCM(98263,98279) = 9657189377

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Least Common Multiple of 98263 and 98279 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98263 and 98279, than apply into the LCM equation.

GCF(98263,98279) = 1
LCM(98263,98279) = ( 98263 × 98279) / 1
LCM(98263,98279) = 9657189377 / 1
LCM(98263,98279) = 9657189377

Least Common Multiple (LCM) of 98263 and 98279 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98263 and 98279. First we will calculate the prime factors of 98263 and 98279.

Prime Factorization of 98263

Prime factors of 98263 are 11, 8933. Prime factorization of 98263 in exponential form is:

98263 = 111 × 89331

Prime Factorization of 98279

Prime factors of 98279 are 23, 4273. Prime factorization of 98279 in exponential form is:

98279 = 231 × 42731

Now multiplying the highest exponent prime factors to calculate the LCM of 98263 and 98279.

LCM(98263,98279) = 111 × 89331 × 231 × 42731
LCM(98263,98279) = 9657189377