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What is the Least Common Multiple of 27557 and 27575?

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 27557 and 27575 is 759884275.

LCM(27557,27575) = 759884275

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Least Common Multiple of 27557 and 27575 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27557 and 27575, than apply into the LCM equation.

GCF(27557,27575) = 1
LCM(27557,27575) = ( 27557 × 27575) / 1
LCM(27557,27575) = 759884275 / 1
LCM(27557,27575) = 759884275

Least Common Multiple (LCM) of 27557 and 27575 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27557 and 27575. First we will calculate the prime factors of 27557 and 27575.

Prime Factorization of 27557

Prime factors of 27557 are 17, 1621. Prime factorization of 27557 in exponential form is:

27557 = 171 × 16211

Prime Factorization of 27575

Prime factors of 27575 are 5, 1103. Prime factorization of 27575 in exponential form is:

27575 = 52 × 11031

Now multiplying the highest exponent prime factors to calculate the LCM of 27557 and 27575.

LCM(27557,27575) = 171 × 16211 × 52 × 11031
LCM(27557,27575) = 759884275