What is the Least Common Multiple of 9833 and 9851?
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 9833 and 9851 is 96864883.
LCM(9833,9851) = 96864883
Least Common Multiple of 9833 and 9851 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9833 and 9851, than apply into the LCM equation.
GCF(9833,9851) = 1
LCM(9833,9851) = ( 9833 × 9851) / 1
LCM(9833,9851) = 96864883 / 1
LCM(9833,9851) = 96864883
Least Common Multiple (LCM) of 9833 and 9851 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9833 and 9851. First we will calculate the prime factors of 9833 and 9851.
Prime Factorization of 9833
Prime factors of 9833 are 9833. Prime factorization of 9833 in exponential form is:
9833 = 98331
Prime Factorization of 9851
Prime factors of 9851 are 9851. Prime factorization of 9851 in exponential form is:
9851 = 98511
Now multiplying the highest exponent prime factors to calculate the LCM of 9833 and 9851.
LCM(9833,9851) = 98331 × 98511
LCM(9833,9851) = 96864883
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