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What is the Least Common Multiple of 27432 and 27447?

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 27432 and 27447 is 250975368.

LCM(27432,27447) = 250975368

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Least Common Multiple of 27432 and 27447 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27432 and 27447, than apply into the LCM equation.

GCF(27432,27447) = 3
LCM(27432,27447) = ( 27432 × 27447) / 3
LCM(27432,27447) = 752926104 / 3
LCM(27432,27447) = 250975368

Least Common Multiple (LCM) of 27432 and 27447 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27432 and 27447. First we will calculate the prime factors of 27432 and 27447.

Prime Factorization of 27432

Prime factors of 27432 are 2, 3, 127. Prime factorization of 27432 in exponential form is:

27432 = 23 × 33 × 1271

Prime Factorization of 27447

Prime factors of 27447 are 3, 7, 1307. Prime factorization of 27447 in exponential form is:

27447 = 31 × 71 × 13071

Now multiplying the highest exponent prime factors to calculate the LCM of 27432 and 27447.

LCM(27432,27447) = 23 × 33 × 1271 × 71 × 13071
LCM(27432,27447) = 250975368