What is the Least Common Multiple of 27386 and 27391?
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 27386 and 27391 is 750129926.
LCM(27386,27391) = 750129926
Least Common Multiple of 27386 and 27391 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27386 and 27391, than apply into the LCM equation.
GCF(27386,27391) = 1
LCM(27386,27391) = ( 27386 × 27391) / 1
LCM(27386,27391) = 750129926 / 1
LCM(27386,27391) = 750129926
Least Common Multiple (LCM) of 27386 and 27391 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 27386 and 27391. First we will calculate the prime factors of 27386 and 27391.
Prime Factorization of 27386
Prime factors of 27386 are 2, 13693. Prime factorization of 27386 in exponential form is:
27386 = 21 × 136931
Prime Factorization of 27391
Prime factors of 27391 are 7, 13, 43. Prime factorization of 27391 in exponential form is:
27391 = 72 × 131 × 431
Now multiplying the highest exponent prime factors to calculate the LCM of 27386 and 27391.
LCM(27386,27391) = 21 × 136931 × 72 × 131 × 431
LCM(27386,27391) = 750129926
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