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What is the Least Common Multiple of 98601 and 98620?

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 98601 and 98620 is 9724030620.

LCM(98601,98620) = 9724030620

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Least Common Multiple of 98601 and 98620 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98601 and 98620, than apply into the LCM equation.

GCF(98601,98620) = 1
LCM(98601,98620) = ( 98601 × 98620) / 1
LCM(98601,98620) = 9724030620 / 1
LCM(98601,98620) = 9724030620

Least Common Multiple (LCM) of 98601 and 98620 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98601 and 98620. First we will calculate the prime factors of 98601 and 98620.

Prime Factorization of 98601

Prime factors of 98601 are 3, 23, 1429. Prime factorization of 98601 in exponential form is:

98601 = 31 × 231 × 14291

Prime Factorization of 98620

Prime factors of 98620 are 2, 5, 4931. Prime factorization of 98620 in exponential form is:

98620 = 22 × 51 × 49311

Now multiplying the highest exponent prime factors to calculate the LCM of 98601 and 98620.

LCM(98601,98620) = 31 × 231 × 14291 × 22 × 51 × 49311
LCM(98601,98620) = 9724030620