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What is the Least Common Multiple of 27591 and 27599?

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 27591 and 27599 is 761484009.

LCM(27591,27599) = 761484009

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Least Common Multiple of 27591 and 27599 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27591 and 27599, than apply into the LCM equation.

GCF(27591,27599) = 1
LCM(27591,27599) = ( 27591 × 27599) / 1
LCM(27591,27599) = 761484009 / 1
LCM(27591,27599) = 761484009

Least Common Multiple (LCM) of 27591 and 27599 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27591 and 27599. First we will calculate the prime factors of 27591 and 27599.

Prime Factorization of 27591

Prime factors of 27591 are 3, 17, 541. Prime factorization of 27591 in exponential form is:

27591 = 31 × 171 × 5411

Prime Factorization of 27599

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

27599 = 111 × 131 × 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 27591 and 27599.

LCM(27591,27599) = 31 × 171 × 5411 × 111 × 131 × 1931
LCM(27591,27599) = 761484009