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What is the Least Common Multiple of 18099 and 18106?

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 18099 and 18106 is 327700494.

LCM(18099,18106) = 327700494

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Least Common Multiple of 18099 and 18106 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18099 and 18106, than apply into the LCM equation.

GCF(18099,18106) = 1
LCM(18099,18106) = ( 18099 × 18106) / 1
LCM(18099,18106) = 327700494 / 1
LCM(18099,18106) = 327700494

Least Common Multiple (LCM) of 18099 and 18106 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18099 and 18106. First we will calculate the prime factors of 18099 and 18106.

Prime Factorization of 18099

Prime factors of 18099 are 3, 2011. Prime factorization of 18099 in exponential form is:

18099 = 32 × 20111

Prime Factorization of 18106

Prime factors of 18106 are 2, 11, 823. Prime factorization of 18106 in exponential form is:

18106 = 21 × 111 × 8231

Now multiplying the highest exponent prime factors to calculate the LCM of 18099 and 18106.

LCM(18099,18106) = 32 × 20111 × 21 × 111 × 8231
LCM(18099,18106) = 327700494