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What is the Least Common Multiple of 27825 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 27825 and 27831 is 258132525.

LCM(27825,27831) = 258132525

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Least Common Multiple of 27825 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 27825 and 27831, than apply into the LCM equation.

GCF(27825,27831) = 3
LCM(27825,27831) = ( 27825 × 27831) / 3
LCM(27825,27831) = 774397575 / 3
LCM(27825,27831) = 258132525

Least Common Multiple (LCM) of 27825 and 27831 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27825 and 27831. First we will calculate the prime factors of 27825 and 27831.

Prime Factorization of 27825

Prime factors of 27825 are 3, 5, 7, 53. Prime factorization of 27825 in exponential form is:

27825 = 31 × 52 × 71 × 531

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 27825 and 27831.

LCM(27825,27831) = 31 × 52 × 71 × 531 × 92771
LCM(27825,27831) = 258132525