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What is the Least Common Multiple of 18813 and 18819?

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 18813 and 18819 is 118013949.

LCM(18813,18819) = 118013949

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Least Common Multiple of 18813 and 18819 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18813 and 18819, than apply into the LCM equation.

GCF(18813,18819) = 3
LCM(18813,18819) = ( 18813 × 18819) / 3
LCM(18813,18819) = 354041847 / 3
LCM(18813,18819) = 118013949

Least Common Multiple (LCM) of 18813 and 18819 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18813 and 18819. First we will calculate the prime factors of 18813 and 18819.

Prime Factorization of 18813

Prime factors of 18813 are 3, 6271. Prime factorization of 18813 in exponential form is:

18813 = 31 × 62711

Prime Factorization of 18819

Prime factors of 18819 are 3, 17, 41. Prime factorization of 18819 in exponential form is:

18819 = 33 × 171 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 18813 and 18819.

LCM(18813,18819) = 33 × 62711 × 171 × 411
LCM(18813,18819) = 118013949