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What is the Least Common Multiple of 27405 and 27413?

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 27405 and 27413 is 751253265.

LCM(27405,27413) = 751253265

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Least Common Multiple of 27405 and 27413 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27405 and 27413, than apply into the LCM equation.

GCF(27405,27413) = 1
LCM(27405,27413) = ( 27405 × 27413) / 1
LCM(27405,27413) = 751253265 / 1
LCM(27405,27413) = 751253265

Least Common Multiple (LCM) of 27405 and 27413 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27405 and 27413. First we will calculate the prime factors of 27405 and 27413.

Prime Factorization of 27405

Prime factors of 27405 are 3, 5, 7, 29. Prime factorization of 27405 in exponential form is:

27405 = 33 × 51 × 71 × 291

Prime Factorization of 27413

Prime factors of 27413 are 79, 347. Prime factorization of 27413 in exponential form is:

27413 = 791 × 3471

Now multiplying the highest exponent prime factors to calculate the LCM of 27405 and 27413.

LCM(27405,27413) = 33 × 51 × 71 × 291 × 791 × 3471
LCM(27405,27413) = 751253265