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What is the Least Common Multiple of 98211 and 98231?

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 98211 and 98231 is 9647364741.

LCM(98211,98231) = 9647364741

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Least Common Multiple of 98211 and 98231 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98211 and 98231, than apply into the LCM equation.

GCF(98211,98231) = 1
LCM(98211,98231) = ( 98211 × 98231) / 1
LCM(98211,98231) = 9647364741 / 1
LCM(98211,98231) = 9647364741

Least Common Multiple (LCM) of 98211 and 98231 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98211 and 98231. First we will calculate the prime factors of 98211 and 98231.

Prime Factorization of 98211

Prime factors of 98211 are 3, 19, 1723. Prime factorization of 98211 in exponential form is:

98211 = 31 × 191 × 17231

Prime Factorization of 98231

Prime factors of 98231 are 7, 14033. Prime factorization of 98231 in exponential form is:

98231 = 71 × 140331

Now multiplying the highest exponent prime factors to calculate the LCM of 98211 and 98231.

LCM(98211,98231) = 31 × 191 × 17231 × 71 × 140331
LCM(98211,98231) = 9647364741