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What is the Least Common Multiple of 98206 and 98223?

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 98206 and 98223 is 9646087938.

LCM(98206,98223) = 9646087938

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Least Common Multiple of 98206 and 98223 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98206 and 98223, than apply into the LCM equation.

GCF(98206,98223) = 1
LCM(98206,98223) = ( 98206 × 98223) / 1
LCM(98206,98223) = 9646087938 / 1
LCM(98206,98223) = 9646087938

Least Common Multiple (LCM) of 98206 and 98223 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98206 and 98223. First we will calculate the prime factors of 98206 and 98223.

Prime Factorization of 98206

Prime factors of 98206 are 2, 49103. Prime factorization of 98206 in exponential form is:

98206 = 21 × 491031

Prime Factorization of 98223

Prime factors of 98223 are 3, 29, 1129. Prime factorization of 98223 in exponential form is:

98223 = 31 × 291 × 11291

Now multiplying the highest exponent prime factors to calculate the LCM of 98206 and 98223.

LCM(98206,98223) = 21 × 491031 × 31 × 291 × 11291
LCM(98206,98223) = 9646087938