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What is the Least Common Multiple of 27599 and 27613?

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 27599 and 27613 is 762091187.

LCM(27599,27613) = 762091187

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Least Common Multiple of 27599 and 27613 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27599 and 27613, than apply into the LCM equation.

GCF(27599,27613) = 1
LCM(27599,27613) = ( 27599 × 27613) / 1
LCM(27599,27613) = 762091187 / 1
LCM(27599,27613) = 762091187

Least Common Multiple (LCM) of 27599 and 27613 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27599 and 27613. First we will calculate the prime factors of 27599 and 27613.

Prime Factorization of 27599

Prime factors of 27599 are 11, 13, 193. Prime factorization of 27599 in exponential form is:

27599 = 111 × 131 × 1931

Prime Factorization of 27613

Prime factors of 27613 are 53, 521. Prime factorization of 27613 in exponential form is:

27613 = 531 × 5211

Now multiplying the highest exponent prime factors to calculate the LCM of 27599 and 27613.

LCM(27599,27613) = 111 × 131 × 1931 × 531 × 5211
LCM(27599,27613) = 762091187