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What is the Least Common Multiple of 27890 and 27904?

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 27890 and 27904 is 389121280.

LCM(27890,27904) = 389121280

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Least Common Multiple of 27890 and 27904 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27890 and 27904, than apply into the LCM equation.

GCF(27890,27904) = 2
LCM(27890,27904) = ( 27890 × 27904) / 2
LCM(27890,27904) = 778242560 / 2
LCM(27890,27904) = 389121280

Least Common Multiple (LCM) of 27890 and 27904 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27890 and 27904. First we will calculate the prime factors of 27890 and 27904.

Prime Factorization of 27890

Prime factors of 27890 are 2, 5, 2789. Prime factorization of 27890 in exponential form is:

27890 = 21 × 51 × 27891

Prime Factorization of 27904

Prime factors of 27904 are 2, 109. Prime factorization of 27904 in exponential form is:

27904 = 28 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 27890 and 27904.

LCM(27890,27904) = 28 × 51 × 27891 × 1091
LCM(27890,27904) = 389121280