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What is the Least Common Multiple of 27521 and 27529?

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 27521 and 27529 is 757625609.

LCM(27521,27529) = 757625609

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Least Common Multiple of 27521 and 27529 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27521 and 27529, than apply into the LCM equation.

GCF(27521,27529) = 1
LCM(27521,27529) = ( 27521 × 27529) / 1
LCM(27521,27529) = 757625609 / 1
LCM(27521,27529) = 757625609

Least Common Multiple (LCM) of 27521 and 27529 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27521 and 27529. First we will calculate the prime factors of 27521 and 27529.

Prime Factorization of 27521

Prime factors of 27521 are 13, 29, 73. Prime factorization of 27521 in exponential form is:

27521 = 131 × 291 × 731

Prime Factorization of 27529

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

27529 = 275291

Now multiplying the highest exponent prime factors to calculate the LCM of 27521 and 27529.

LCM(27521,27529) = 131 × 291 × 731 × 275291
LCM(27521,27529) = 757625609