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What is the Least Common Multiple of 27507 and 27523?

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 27507 and 27523 is 757075161.

LCM(27507,27523) = 757075161

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Least Common Multiple of 27507 and 27523 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27507 and 27523, than apply into the LCM equation.

GCF(27507,27523) = 1
LCM(27507,27523) = ( 27507 × 27523) / 1
LCM(27507,27523) = 757075161 / 1
LCM(27507,27523) = 757075161

Least Common Multiple (LCM) of 27507 and 27523 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27507 and 27523. First we will calculate the prime factors of 27507 and 27523.

Prime Factorization of 27507

Prime factors of 27507 are 3, 53, 173. Prime factorization of 27507 in exponential form is:

27507 = 31 × 531 × 1731

Prime Factorization of 27523

Prime factors of 27523 are 17, 1619. Prime factorization of 27523 in exponential form is:

27523 = 171 × 16191

Now multiplying the highest exponent prime factors to calculate the LCM of 27507 and 27523.

LCM(27507,27523) = 31 × 531 × 1731 × 171 × 16191
LCM(27507,27523) = 757075161