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What is the Least Common Multiple of 18827 and 18831?

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 18827 and 18831 is 354531237.

LCM(18827,18831) = 354531237

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Least Common Multiple of 18827 and 18831 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18827 and 18831, than apply into the LCM equation.

GCF(18827,18831) = 1
LCM(18827,18831) = ( 18827 × 18831) / 1
LCM(18827,18831) = 354531237 / 1
LCM(18827,18831) = 354531237

Least Common Multiple (LCM) of 18827 and 18831 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18827 and 18831. First we will calculate the prime factors of 18827 and 18831.

Prime Factorization of 18827

Prime factors of 18827 are 67, 281. Prime factorization of 18827 in exponential form is:

18827 = 671 × 2811

Prime Factorization of 18831

Prime factors of 18831 are 3, 6277. Prime factorization of 18831 in exponential form is:

18831 = 31 × 62771

Now multiplying the highest exponent prime factors to calculate the LCM of 18827 and 18831.

LCM(18827,18831) = 671 × 2811 × 31 × 62771
LCM(18827,18831) = 354531237