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What is the Least Common Multiple of 27563 and 27567?

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 27563 and 27567 is 759829221.

LCM(27563,27567) = 759829221

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Least Common Multiple of 27563 and 27567 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27563 and 27567, than apply into the LCM equation.

GCF(27563,27567) = 1
LCM(27563,27567) = ( 27563 × 27567) / 1
LCM(27563,27567) = 759829221 / 1
LCM(27563,27567) = 759829221

Least Common Multiple (LCM) of 27563 and 27567 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27563 and 27567. First we will calculate the prime factors of 27563 and 27567.

Prime Factorization of 27563

Prime factors of 27563 are 43, 641. Prime factorization of 27563 in exponential form is:

27563 = 431 × 6411

Prime Factorization of 27567

Prime factors of 27567 are 3, 1021. Prime factorization of 27567 in exponential form is:

27567 = 33 × 10211

Now multiplying the highest exponent prime factors to calculate the LCM of 27563 and 27567.

LCM(27563,27567) = 431 × 6411 × 33 × 10211
LCM(27563,27567) = 759829221