What is the Least Common Multiple of 11199 and 11216?
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 11199 and 11216 is 125607984.
LCM(11199,11216) = 125607984
Least Common Multiple of 11199 and 11216 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11199 and 11216, than apply into the LCM equation.
GCF(11199,11216) = 1
LCM(11199,11216) = ( 11199 × 11216) / 1
LCM(11199,11216) = 125607984 / 1
LCM(11199,11216) = 125607984
Least Common Multiple (LCM) of 11199 and 11216 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11199 and 11216. First we will calculate the prime factors of 11199 and 11216.
Prime Factorization of 11199
Prime factors of 11199 are 3, 3733. Prime factorization of 11199 in exponential form is:
11199 = 31 × 37331
Prime Factorization of 11216
Prime factors of 11216 are 2, 701. Prime factorization of 11216 in exponential form is:
11216 = 24 × 7011
Now multiplying the highest exponent prime factors to calculate the LCM of 11199 and 11216.
LCM(11199,11216) = 31 × 37331 × 24 × 7011
LCM(11199,11216) = 125607984
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