What is the Least Common Multiple of 27482 and 27494?
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 27482 and 27494 is 377795054.
LCM(27482,27494) = 377795054
Least Common Multiple of 27482 and 27494 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27482 and 27494, than apply into the LCM equation.
GCF(27482,27494) = 2
LCM(27482,27494) = ( 27482 × 27494) / 2
LCM(27482,27494) = 755590108 / 2
LCM(27482,27494) = 377795054
Least Common Multiple (LCM) of 27482 and 27494 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 27482 and 27494. First we will calculate the prime factors of 27482 and 27494.
Prime Factorization of 27482
Prime factors of 27482 are 2, 7, 13, 151. Prime factorization of 27482 in exponential form is:
27482 = 21 × 71 × 131 × 1511
Prime Factorization of 27494
Prime factors of 27494 are 2, 59, 233. Prime factorization of 27494 in exponential form is:
27494 = 21 × 591 × 2331
Now multiplying the highest exponent prime factors to calculate the LCM of 27482 and 27494.
LCM(27482,27494) = 21 × 71 × 131 × 1511 × 591 × 2331
LCM(27482,27494) = 377795054
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