What is the Least Common Multiple of 98441 and 98459?
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 98441 and 98459 is 9692402419.
LCM(98441,98459) = 9692402419
Least Common Multiple of 98441 and 98459 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98441 and 98459, than apply into the LCM equation.
GCF(98441,98459) = 1
LCM(98441,98459) = ( 98441 × 98459) / 1
LCM(98441,98459) = 9692402419 / 1
LCM(98441,98459) = 9692402419
Least Common Multiple (LCM) of 98441 and 98459 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98441 and 98459. First we will calculate the prime factors of 98441 and 98459.
Prime Factorization of 98441
Prime factors of 98441 are 7, 41. Prime factorization of 98441 in exponential form is:
98441 = 74 × 411
Prime Factorization of 98459
Prime factors of 98459 are 98459. Prime factorization of 98459 in exponential form is:
98459 = 984591
Now multiplying the highest exponent prime factors to calculate the LCM of 98441 and 98459.
LCM(98441,98459) = 74 × 411 × 984591
LCM(98441,98459) = 9692402419
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