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What is the Least Common Multiple of 27583 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 27583 and 27599 is 761263217.

LCM(27583,27599) = 761263217

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Least Common Multiple of 27583 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 27583 and 27599, than apply into the LCM equation.

GCF(27583,27599) = 1
LCM(27583,27599) = ( 27583 × 27599) / 1
LCM(27583,27599) = 761263217 / 1
LCM(27583,27599) = 761263217

Least Common Multiple (LCM) of 27583 and 27599 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27583 and 27599. First we will calculate the prime factors of 27583 and 27599.

Prime Factorization of 27583

Prime factors of 27583 are 27583. Prime factorization of 27583 in exponential form is:

27583 = 275831

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 27583 and 27599.

LCM(27583,27599) = 275831 × 111 × 131 × 1931
LCM(27583,27599) = 761263217