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What is the Least Common Multiple of 27439 and 27459?

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 27439 and 27459 is 753447501.

LCM(27439,27459) = 753447501

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Least Common Multiple of 27439 and 27459 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27439 and 27459, than apply into the LCM equation.

GCF(27439,27459) = 1
LCM(27439,27459) = ( 27439 × 27459) / 1
LCM(27439,27459) = 753447501 / 1
LCM(27439,27459) = 753447501

Least Common Multiple (LCM) of 27439 and 27459 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27439 and 27459. First we will calculate the prime factors of 27439 and 27459.

Prime Factorization of 27439

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

27439 = 231 × 11931

Prime Factorization of 27459

Prime factors of 27459 are 3, 113. Prime factorization of 27459 in exponential form is:

27459 = 35 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 27439 and 27459.

LCM(27439,27459) = 231 × 11931 × 35 × 1131
LCM(27439,27459) = 753447501