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What is the Least Common Multiple of 27425 and 27439?

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 27425 and 27439 is 752514575.

LCM(27425,27439) = 752514575

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Least Common Multiple of 27425 and 27439 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27425 and 27439, than apply into the LCM equation.

GCF(27425,27439) = 1
LCM(27425,27439) = ( 27425 × 27439) / 1
LCM(27425,27439) = 752514575 / 1
LCM(27425,27439) = 752514575

Least Common Multiple (LCM) of 27425 and 27439 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27425 and 27439. First we will calculate the prime factors of 27425 and 27439.

Prime Factorization of 27425

Prime factors of 27425 are 5, 1097. Prime factorization of 27425 in exponential form is:

27425 = 52 × 10971

Prime Factorization of 27439

Prime factors of 27439 are 23, 1193. Prime factorization of 27439 in exponential form is:

27439 = 231 × 11931

Now multiplying the highest exponent prime factors to calculate the LCM of 27425 and 27439.

LCM(27425,27439) = 52 × 10971 × 231 × 11931
LCM(27425,27439) = 752514575