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What is the Least Common Multiple of 18110 and 18117?

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 18110 and 18117 is 328098870.

LCM(18110,18117) = 328098870

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Least Common Multiple of 18110 and 18117 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18110 and 18117, than apply into the LCM equation.

GCF(18110,18117) = 1
LCM(18110,18117) = ( 18110 × 18117) / 1
LCM(18110,18117) = 328098870 / 1
LCM(18110,18117) = 328098870

Least Common Multiple (LCM) of 18110 and 18117 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18110 and 18117. First we will calculate the prime factors of 18110 and 18117.

Prime Factorization of 18110

Prime factors of 18110 are 2, 5, 1811. Prime factorization of 18110 in exponential form is:

18110 = 21 × 51 × 18111

Prime Factorization of 18117

Prime factors of 18117 are 3, 11, 61. Prime factorization of 18117 in exponential form is:

18117 = 33 × 111 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 18110 and 18117.

LCM(18110,18117) = 21 × 51 × 18111 × 33 × 111 × 611
LCM(18110,18117) = 328098870