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What is the Least Common Multiple of 27475 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 27475 and 27481 is 755040475.

LCM(27475,27481) = 755040475

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Least Common Multiple of 27475 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 27475 and 27481, than apply into the LCM equation.

GCF(27475,27481) = 1
LCM(27475,27481) = ( 27475 × 27481) / 1
LCM(27475,27481) = 755040475 / 1
LCM(27475,27481) = 755040475

Least Common Multiple (LCM) of 27475 and 27481 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27475 and 27481. First we will calculate the prime factors of 27475 and 27481.

Prime Factorization of 27475

Prime factors of 27475 are 5, 7, 157. Prime factorization of 27475 in exponential form is:

27475 = 52 × 71 × 1571

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 27475 and 27481.

LCM(27475,27481) = 52 × 71 × 1571 × 274811
LCM(27475,27481) = 755040475