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What is the Least Common Multiple of 27945 and 27963?

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 27945 and 27963 is 86825115.

LCM(27945,27963) = 86825115

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Least Common Multiple of 27945 and 27963 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27945 and 27963, than apply into the LCM equation.

GCF(27945,27963) = 9
LCM(27945,27963) = ( 27945 × 27963) / 9
LCM(27945,27963) = 781426035 / 9
LCM(27945,27963) = 86825115

Least Common Multiple (LCM) of 27945 and 27963 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27945 and 27963. First we will calculate the prime factors of 27945 and 27963.

Prime Factorization of 27945

Prime factors of 27945 are 3, 5, 23. Prime factorization of 27945 in exponential form is:

27945 = 35 × 51 × 231

Prime Factorization of 27963

Prime factors of 27963 are 3, 13, 239. Prime factorization of 27963 in exponential form is:

27963 = 32 × 131 × 2391

Now multiplying the highest exponent prime factors to calculate the LCM of 27945 and 27963.

LCM(27945,27963) = 35 × 51 × 231 × 131 × 2391
LCM(27945,27963) = 86825115