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What is the Least Common Multiple of 98170 and 98187?

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 98170 and 98187 is 9639017790.

LCM(98170,98187) = 9639017790

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Least Common Multiple of 98170 and 98187 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98170 and 98187, than apply into the LCM equation.

GCF(98170,98187) = 1
LCM(98170,98187) = ( 98170 × 98187) / 1
LCM(98170,98187) = 9639017790 / 1
LCM(98170,98187) = 9639017790

Least Common Multiple (LCM) of 98170 and 98187 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98170 and 98187. First we will calculate the prime factors of 98170 and 98187.

Prime Factorization of 98170

Prime factors of 98170 are 2, 5, 9817. Prime factorization of 98170 in exponential form is:

98170 = 21 × 51 × 98171

Prime Factorization of 98187

Prime factors of 98187 are 3, 23, 1423. Prime factorization of 98187 in exponential form is:

98187 = 31 × 231 × 14231

Now multiplying the highest exponent prime factors to calculate the LCM of 98170 and 98187.

LCM(98170,98187) = 21 × 51 × 98171 × 31 × 231 × 14231
LCM(98170,98187) = 9639017790