What is the Least Common Multiple of 9821 and 9829?
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 9821 and 9829 is 96530609.
LCM(9821,9829) = 96530609
Least Common Multiple of 9821 and 9829 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9821 and 9829, than apply into the LCM equation.
GCF(9821,9829) = 1
LCM(9821,9829) = ( 9821 × 9829) / 1
LCM(9821,9829) = 96530609 / 1
LCM(9821,9829) = 96530609
Least Common Multiple (LCM) of 9821 and 9829 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9821 and 9829. First we will calculate the prime factors of 9821 and 9829.
Prime Factorization of 9821
Prime factors of 9821 are 7, 23, 61. Prime factorization of 9821 in exponential form is:
9821 = 71 × 231 × 611
Prime Factorization of 9829
Prime factors of 9829 are 9829. Prime factorization of 9829 in exponential form is:
9829 = 98291
Now multiplying the highest exponent prime factors to calculate the LCM of 9821 and 9829.
LCM(9821,9829) = 71 × 231 × 611 × 98291
LCM(9821,9829) = 96530609
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Related Least Common Multiples of 9829
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