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What is the Least Common Multiple of 18641 and 18645?

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 18641 and 18645 is 347561445.

LCM(18641,18645) = 347561445

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Least Common Multiple of 18641 and 18645 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18641 and 18645, than apply into the LCM equation.

GCF(18641,18645) = 1
LCM(18641,18645) = ( 18641 × 18645) / 1
LCM(18641,18645) = 347561445 / 1
LCM(18641,18645) = 347561445

Least Common Multiple (LCM) of 18641 and 18645 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18641 and 18645. First we will calculate the prime factors of 18641 and 18645.

Prime Factorization of 18641

Prime factors of 18641 are 7, 2663. Prime factorization of 18641 in exponential form is:

18641 = 71 × 26631

Prime Factorization of 18645

Prime factors of 18645 are 3, 5, 11, 113. Prime factorization of 18645 in exponential form is:

18645 = 31 × 51 × 111 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 18641 and 18645.

LCM(18641,18645) = 71 × 26631 × 31 × 51 × 111 × 1131
LCM(18641,18645) = 347561445