What is the Least Common Multiple of 98821 and 98833?
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 98821 and 98833 is 9766775893.
LCM(98821,98833) = 9766775893
Least Common Multiple of 98821 and 98833 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98821 and 98833, than apply into the LCM equation.
GCF(98821,98833) = 1
LCM(98821,98833) = ( 98821 × 98833) / 1
LCM(98821,98833) = 9766775893 / 1
LCM(98821,98833) = 9766775893
Least Common Multiple (LCM) of 98821 and 98833 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98821 and 98833. First we will calculate the prime factors of 98821 and 98833.
Prime Factorization of 98821
Prime factors of 98821 are 17, 5813. Prime factorization of 98821 in exponential form is:
98821 = 171 × 58131
Prime Factorization of 98833
Prime factors of 98833 are 7, 2017. Prime factorization of 98833 in exponential form is:
98833 = 72 × 20171
Now multiplying the highest exponent prime factors to calculate the LCM of 98821 and 98833.
LCM(98821,98833) = 171 × 58131 × 72 × 20171
LCM(98821,98833) = 9766775893
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