What is the Least Common Multiple of 14094 and 14112?
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 14094 and 14112 is 11049696.
LCM(14094,14112) = 11049696
Least Common Multiple of 14094 and 14112 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14094 and 14112, than apply into the LCM equation.
GCF(14094,14112) = 18
LCM(14094,14112) = ( 14094 × 14112) / 18
LCM(14094,14112) = 198894528 / 18
LCM(14094,14112) = 11049696
Least Common Multiple (LCM) of 14094 and 14112 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 14094 and 14112. First we will calculate the prime factors of 14094 and 14112.
Prime Factorization of 14094
Prime factors of 14094 are 2, 3, 29. Prime factorization of 14094 in exponential form is:
14094 = 21 × 35 × 291
Prime Factorization of 14112
Prime factors of 14112 are 2, 3, 7. Prime factorization of 14112 in exponential form is:
14112 = 25 × 32 × 72
Now multiplying the highest exponent prime factors to calculate the LCM of 14094 and 14112.
LCM(14094,14112) = 25 × 35 × 291 × 72
LCM(14094,14112) = 11049696
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