What is the Least Common Multiple of 9868 and 9884?
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 9868 and 9884 is 24383828.
LCM(9868,9884) = 24383828
Least Common Multiple of 9868 and 9884 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9868 and 9884, than apply into the LCM equation.
GCF(9868,9884) = 4
LCM(9868,9884) = ( 9868 × 9884) / 4
LCM(9868,9884) = 97535312 / 4
LCM(9868,9884) = 24383828
Least Common Multiple (LCM) of 9868 and 9884 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9868 and 9884. First we will calculate the prime factors of 9868 and 9884.
Prime Factorization of 9868
Prime factors of 9868 are 2, 2467. Prime factorization of 9868 in exponential form is:
9868 = 22 × 24671
Prime Factorization of 9884
Prime factors of 9884 are 2, 7, 353. Prime factorization of 9884 in exponential form is:
9884 = 22 × 71 × 3531
Now multiplying the highest exponent prime factors to calculate the LCM of 9868 and 9884.
LCM(9868,9884) = 22 × 24671 × 71 × 3531
LCM(9868,9884) = 24383828
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