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What is the Least Common Multiple of 18445 and 18461?

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 18445 and 18461 is 340513145.

LCM(18445,18461) = 340513145

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Least Common Multiple of 18445 and 18461 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18445 and 18461, than apply into the LCM equation.

GCF(18445,18461) = 1
LCM(18445,18461) = ( 18445 × 18461) / 1
LCM(18445,18461) = 340513145 / 1
LCM(18445,18461) = 340513145

Least Common Multiple (LCM) of 18445 and 18461 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18445 and 18461. First we will calculate the prime factors of 18445 and 18461.

Prime Factorization of 18445

Prime factors of 18445 are 5, 7, 17, 31. Prime factorization of 18445 in exponential form is:

18445 = 51 × 71 × 171 × 311

Prime Factorization of 18461

Prime factors of 18461 are 18461. Prime factorization of 18461 in exponential form is:

18461 = 184611

Now multiplying the highest exponent prime factors to calculate the LCM of 18445 and 18461.

LCM(18445,18461) = 51 × 71 × 171 × 311 × 184611
LCM(18445,18461) = 340513145