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What is the Least Common Multiple of 98229 and 98246?

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 98229 and 98246 is 9650606334.

LCM(98229,98246) = 9650606334

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Least Common Multiple of 98229 and 98246 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98229 and 98246, than apply into the LCM equation.

GCF(98229,98246) = 1
LCM(98229,98246) = ( 98229 × 98246) / 1
LCM(98229,98246) = 9650606334 / 1
LCM(98229,98246) = 9650606334

Least Common Multiple (LCM) of 98229 and 98246 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98229 and 98246. First we will calculate the prime factors of 98229 and 98246.

Prime Factorization of 98229

Prime factors of 98229 are 3, 137, 239. Prime factorization of 98229 in exponential form is:

98229 = 31 × 1371 × 2391

Prime Factorization of 98246

Prime factors of 98246 are 2, 49123. Prime factorization of 98246 in exponential form is:

98246 = 21 × 491231

Now multiplying the highest exponent prime factors to calculate the LCM of 98229 and 98246.

LCM(98229,98246) = 31 × 1371 × 2391 × 21 × 491231
LCM(98229,98246) = 9650606334