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What is the Least Common Multiple of 18887 and 18899?

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 18887 and 18899 is 356945413.

LCM(18887,18899) = 356945413

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Least Common Multiple of 18887 and 18899 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18887 and 18899, than apply into the LCM equation.

GCF(18887,18899) = 1
LCM(18887,18899) = ( 18887 × 18899) / 1
LCM(18887,18899) = 356945413 / 1
LCM(18887,18899) = 356945413

Least Common Multiple (LCM) of 18887 and 18899 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18887 and 18899. First we will calculate the prime factors of 18887 and 18899.

Prime Factorization of 18887

Prime factors of 18887 are 11, 17, 101. Prime factorization of 18887 in exponential form is:

18887 = 111 × 171 × 1011

Prime Factorization of 18899

Prime factors of 18899 are 18899. Prime factorization of 18899 in exponential form is:

18899 = 188991

Now multiplying the highest exponent prime factors to calculate the LCM of 18887 and 18899.

LCM(18887,18899) = 111 × 171 × 1011 × 188991
LCM(18887,18899) = 356945413