What is the Least Common Multiple of 9836 and 9849?
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 9836 and 9849 is 96874764.
LCM(9836,9849) = 96874764
Least Common Multiple of 9836 and 9849 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9836 and 9849, than apply into the LCM equation.
GCF(9836,9849) = 1
LCM(9836,9849) = ( 9836 × 9849) / 1
LCM(9836,9849) = 96874764 / 1
LCM(9836,9849) = 96874764
Least Common Multiple (LCM) of 9836 and 9849 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9836 and 9849. First we will calculate the prime factors of 9836 and 9849.
Prime Factorization of 9836
Prime factors of 9836 are 2, 2459. Prime factorization of 9836 in exponential form is:
9836 = 22 × 24591
Prime Factorization of 9849
Prime factors of 9849 are 3, 7, 67. Prime factorization of 9849 in exponential form is:
9849 = 31 × 72 × 671
Now multiplying the highest exponent prime factors to calculate the LCM of 9836 and 9849.
LCM(9836,9849) = 22 × 24591 × 31 × 72 × 671
LCM(9836,9849) = 96874764
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