What is the Least Common Multiple of 11484 and 11504?
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 11484 and 11504 is 33027984.
LCM(11484,11504) = 33027984
Least Common Multiple of 11484 and 11504 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11484 and 11504, than apply into the LCM equation.
GCF(11484,11504) = 4
LCM(11484,11504) = ( 11484 × 11504) / 4
LCM(11484,11504) = 132111936 / 4
LCM(11484,11504) = 33027984
Least Common Multiple (LCM) of 11484 and 11504 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11484 and 11504. First we will calculate the prime factors of 11484 and 11504.
Prime Factorization of 11484
Prime factors of 11484 are 2, 3, 11, 29. Prime factorization of 11484 in exponential form is:
11484 = 22 × 32 × 111 × 291
Prime Factorization of 11504
Prime factors of 11504 are 2, 719. Prime factorization of 11504 in exponential form is:
11504 = 24 × 7191
Now multiplying the highest exponent prime factors to calculate the LCM of 11484 and 11504.
LCM(11484,11504) = 24 × 32 × 111 × 291 × 7191
LCM(11484,11504) = 33027984
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