What is the Least Common Multiple of 9826 and 9841?
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 9826 and 9841 is 96697666.
LCM(9826,9841) = 96697666
Least Common Multiple of 9826 and 9841 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9826 and 9841, than apply into the LCM equation.
GCF(9826,9841) = 1
LCM(9826,9841) = ( 9826 × 9841) / 1
LCM(9826,9841) = 96697666 / 1
LCM(9826,9841) = 96697666
Least Common Multiple (LCM) of 9826 and 9841 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9826 and 9841. First we will calculate the prime factors of 9826 and 9841.
Prime Factorization of 9826
Prime factors of 9826 are 2, 17. Prime factorization of 9826 in exponential form is:
9826 = 21 × 173
Prime Factorization of 9841
Prime factors of 9841 are 13, 757. Prime factorization of 9841 in exponential form is:
9841 = 131 × 7571
Now multiplying the highest exponent prime factors to calculate the LCM of 9826 and 9841.
LCM(9826,9841) = 21 × 173 × 131 × 7571
LCM(9826,9841) = 96697666
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