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What is the Least Common Multiple of 98143 and 98163?

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 98143 and 98163 is 9634011309.

LCM(98143,98163) = 9634011309

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Least Common Multiple of 98143 and 98163 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98143 and 98163, than apply into the LCM equation.

GCF(98143,98163) = 1
LCM(98143,98163) = ( 98143 × 98163) / 1
LCM(98143,98163) = 9634011309 / 1
LCM(98143,98163) = 9634011309

Least Common Multiple (LCM) of 98143 and 98163 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98143 and 98163. First we will calculate the prime factors of 98143 and 98163.

Prime Factorization of 98143

Prime factors of 98143 are 98143. Prime factorization of 98143 in exponential form is:

98143 = 981431

Prime Factorization of 98163

Prime factors of 98163 are 3, 13, 839. Prime factorization of 98163 in exponential form is:

98163 = 32 × 131 × 8391

Now multiplying the highest exponent prime factors to calculate the LCM of 98143 and 98163.

LCM(98143,98163) = 981431 × 32 × 131 × 8391
LCM(98143,98163) = 9634011309