What is the Least Common Multiple of 11174 and 11184?
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 11174 and 11184 is 62485008.
LCM(11174,11184) = 62485008
Least Common Multiple of 11174 and 11184 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11174 and 11184, than apply into the LCM equation.
GCF(11174,11184) = 2
LCM(11174,11184) = ( 11174 × 11184) / 2
LCM(11174,11184) = 124970016 / 2
LCM(11174,11184) = 62485008
Least Common Multiple (LCM) of 11174 and 11184 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11174 and 11184. First we will calculate the prime factors of 11174 and 11184.
Prime Factorization of 11174
Prime factors of 11174 are 2, 37, 151. Prime factorization of 11174 in exponential form is:
11174 = 21 × 371 × 1511
Prime Factorization of 11184
Prime factors of 11184 are 2, 3, 233. Prime factorization of 11184 in exponential form is:
11184 = 24 × 31 × 2331
Now multiplying the highest exponent prime factors to calculate the LCM of 11174 and 11184.
LCM(11174,11184) = 24 × 371 × 1511 × 31 × 2331
LCM(11174,11184) = 62485008
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