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What is the Least Common Multiple of 27816 and 27831?

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 27816 and 27831 is 258049032.

LCM(27816,27831) = 258049032

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Least Common Multiple of 27816 and 27831 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27816 and 27831, than apply into the LCM equation.

GCF(27816,27831) = 3
LCM(27816,27831) = ( 27816 × 27831) / 3
LCM(27816,27831) = 774147096 / 3
LCM(27816,27831) = 258049032

Least Common Multiple (LCM) of 27816 and 27831 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27816 and 27831. First we will calculate the prime factors of 27816 and 27831.

Prime Factorization of 27816

Prime factors of 27816 are 2, 3, 19, 61. Prime factorization of 27816 in exponential form is:

27816 = 23 × 31 × 191 × 611

Prime Factorization of 27831

Prime factors of 27831 are 3, 9277. Prime factorization of 27831 in exponential form is:

27831 = 31 × 92771

Now multiplying the highest exponent prime factors to calculate the LCM of 27816 and 27831.

LCM(27816,27831) = 23 × 31 × 191 × 611 × 92771
LCM(27816,27831) = 258049032