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What is the Least Common Multiple of 98206 and 98221?

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 98221 is 9645891526.

LCM(98206,98221) = 9645891526

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Least Common Multiple of 98206 and 98221 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 98221, than apply into the LCM equation.

GCF(98206,98221) = 1
LCM(98206,98221) = ( 98206 × 98221) / 1
LCM(98206,98221) = 9645891526 / 1
LCM(98206,98221) = 9645891526

Least Common Multiple (LCM) of 98206 and 98221 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98206 and 98221. First we will calculate the prime factors of 98206 and 98221.

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 98221

Prime factors of 98221 are 98221. Prime factorization of 98221 in exponential form is:

98221 = 982211

Now multiplying the highest exponent prime factors to calculate the LCM of 98206 and 98221.

LCM(98206,98221) = 21 × 491031 × 982211
LCM(98206,98221) = 9645891526