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What is the Least Common Multiple of 27530 and 27549?

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 27530 and 27549 is 758423970.

LCM(27530,27549) = 758423970

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Least Common Multiple of 27530 and 27549 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27530 and 27549, than apply into the LCM equation.

GCF(27530,27549) = 1
LCM(27530,27549) = ( 27530 × 27549) / 1
LCM(27530,27549) = 758423970 / 1
LCM(27530,27549) = 758423970

Least Common Multiple (LCM) of 27530 and 27549 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27530 and 27549. First we will calculate the prime factors of 27530 and 27549.

Prime Factorization of 27530

Prime factors of 27530 are 2, 5, 2753. Prime factorization of 27530 in exponential form is:

27530 = 21 × 51 × 27531

Prime Factorization of 27549

Prime factors of 27549 are 3, 3061. Prime factorization of 27549 in exponential form is:

27549 = 32 × 30611

Now multiplying the highest exponent prime factors to calculate the LCM of 27530 and 27549.

LCM(27530,27549) = 21 × 51 × 27531 × 32 × 30611
LCM(27530,27549) = 758423970