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What is the Least Common Multiple of 18601 and 18606?

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 18601 and 18606 is 346090206.

LCM(18601,18606) = 346090206

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Least Common Multiple of 18601 and 18606 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18601 and 18606, than apply into the LCM equation.

GCF(18601,18606) = 1
LCM(18601,18606) = ( 18601 × 18606) / 1
LCM(18601,18606) = 346090206 / 1
LCM(18601,18606) = 346090206

Least Common Multiple (LCM) of 18601 and 18606 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18601 and 18606. First we will calculate the prime factors of 18601 and 18606.

Prime Factorization of 18601

Prime factors of 18601 are 11, 19, 89. Prime factorization of 18601 in exponential form is:

18601 = 111 × 191 × 891

Prime Factorization of 18606

Prime factors of 18606 are 2, 3, 7, 443. Prime factorization of 18606 in exponential form is:

18606 = 21 × 31 × 71 × 4431

Now multiplying the highest exponent prime factors to calculate the LCM of 18601 and 18606.

LCM(18601,18606) = 111 × 191 × 891 × 21 × 31 × 71 × 4431
LCM(18601,18606) = 346090206