What is the Least Common Multiple of 9884 and 9904?
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 9884 and 9904 is 24472784.
LCM(9884,9904) = 24472784
Least Common Multiple of 9884 and 9904 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9884 and 9904, than apply into the LCM equation.
GCF(9884,9904) = 4
LCM(9884,9904) = ( 9884 × 9904) / 4
LCM(9884,9904) = 97891136 / 4
LCM(9884,9904) = 24472784
Least Common Multiple (LCM) of 9884 and 9904 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9884 and 9904. First we will calculate the prime factors of 9884 and 9904.
Prime Factorization of 9884
Prime factors of 9884 are 2, 7, 353. Prime factorization of 9884 in exponential form is:
9884 = 22 × 71 × 3531
Prime Factorization of 9904
Prime factors of 9904 are 2, 619. Prime factorization of 9904 in exponential form is:
9904 = 24 × 6191
Now multiplying the highest exponent prime factors to calculate the LCM of 9884 and 9904.
LCM(9884,9904) = 24 × 71 × 3531 × 6191
LCM(9884,9904) = 24472784
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