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What is the Least Common Multiple of 27473 and 27481?

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 27473 and 27481 is 754985513.

LCM(27473,27481) = 754985513

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Least Common Multiple of 27473 and 27481 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27473 and 27481, than apply into the LCM equation.

GCF(27473,27481) = 1
LCM(27473,27481) = ( 27473 × 27481) / 1
LCM(27473,27481) = 754985513 / 1
LCM(27473,27481) = 754985513

Least Common Multiple (LCM) of 27473 and 27481 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27473 and 27481. First we will calculate the prime factors of 27473 and 27481.

Prime Factorization of 27473

Prime factors of 27473 are 83, 331. Prime factorization of 27473 in exponential form is:

27473 = 831 × 3311

Prime Factorization of 27481

Prime factors of 27481 are 27481. Prime factorization of 27481 in exponential form is:

27481 = 274811

Now multiplying the highest exponent prime factors to calculate the LCM of 27473 and 27481.

LCM(27473,27481) = 831 × 3311 × 274811
LCM(27473,27481) = 754985513