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What is the Least Common Multiple of 27529 and 27544?

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 27529 and 27544 is 758258776.

LCM(27529,27544) = 758258776

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Least Common Multiple of 27529 and 27544 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27529 and 27544, than apply into the LCM equation.

GCF(27529,27544) = 1
LCM(27529,27544) = ( 27529 × 27544) / 1
LCM(27529,27544) = 758258776 / 1
LCM(27529,27544) = 758258776

Least Common Multiple (LCM) of 27529 and 27544 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27529 and 27544. First we will calculate the prime factors of 27529 and 27544.

Prime Factorization of 27529

Prime factors of 27529 are 27529. Prime factorization of 27529 in exponential form is:

27529 = 275291

Prime Factorization of 27544

Prime factors of 27544 are 2, 11, 313. Prime factorization of 27544 in exponential form is:

27544 = 23 × 111 × 3131

Now multiplying the highest exponent prime factors to calculate the LCM of 27529 and 27544.

LCM(27529,27544) = 275291 × 23 × 111 × 3131
LCM(27529,27544) = 758258776