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What is the Least Common Multiple of 27584 and 27603?

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 27584 and 27603 is 761401152.

LCM(27584,27603) = 761401152

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Least Common Multiple of 27584 and 27603 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27584 and 27603, than apply into the LCM equation.

GCF(27584,27603) = 1
LCM(27584,27603) = ( 27584 × 27603) / 1
LCM(27584,27603) = 761401152 / 1
LCM(27584,27603) = 761401152

Least Common Multiple (LCM) of 27584 and 27603 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27584 and 27603. First we will calculate the prime factors of 27584 and 27603.

Prime Factorization of 27584

Prime factors of 27584 are 2, 431. Prime factorization of 27584 in exponential form is:

27584 = 26 × 4311

Prime Factorization of 27603

Prime factors of 27603 are 3, 3067. Prime factorization of 27603 in exponential form is:

27603 = 32 × 30671

Now multiplying the highest exponent prime factors to calculate the LCM of 27584 and 27603.

LCM(27584,27603) = 26 × 4311 × 32 × 30671
LCM(27584,27603) = 761401152