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What is the Least Common Multiple of 27073 and 27090?

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 27073 and 27090 is 733407570.

LCM(27073,27090) = 733407570

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Least Common Multiple of 27073 and 27090 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27073 and 27090, than apply into the LCM equation.

GCF(27073,27090) = 1
LCM(27073,27090) = ( 27073 × 27090) / 1
LCM(27073,27090) = 733407570 / 1
LCM(27073,27090) = 733407570

Least Common Multiple (LCM) of 27073 and 27090 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27073 and 27090. First we will calculate the prime factors of 27073 and 27090.

Prime Factorization of 27073

Prime factors of 27073 are 27073. Prime factorization of 27073 in exponential form is:

27073 = 270731

Prime Factorization of 27090

Prime factors of 27090 are 2, 3, 5, 7, 43. Prime factorization of 27090 in exponential form is:

27090 = 21 × 32 × 51 × 71 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 27073 and 27090.

LCM(27073,27090) = 270731 × 21 × 32 × 51 × 71 × 431
LCM(27073,27090) = 733407570