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What is the Least Common Multiple of 98247 and 98254?

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 98247 and 98254 is 9653160738.

LCM(98247,98254) = 9653160738

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Least Common Multiple of 98247 and 98254 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98247 and 98254, than apply into the LCM equation.

GCF(98247,98254) = 1
LCM(98247,98254) = ( 98247 × 98254) / 1
LCM(98247,98254) = 9653160738 / 1
LCM(98247,98254) = 9653160738

Least Common Multiple (LCM) of 98247 and 98254 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98247 and 98254. First we will calculate the prime factors of 98247 and 98254.

Prime Factorization of 98247

Prime factors of 98247 are 3, 32749. Prime factorization of 98247 in exponential form is:

98247 = 31 × 327491

Prime Factorization of 98254

Prime factors of 98254 are 2, 13, 3779. Prime factorization of 98254 in exponential form is:

98254 = 21 × 131 × 37791

Now multiplying the highest exponent prime factors to calculate the LCM of 98247 and 98254.

LCM(98247,98254) = 31 × 327491 × 21 × 131 × 37791
LCM(98247,98254) = 9653160738