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What is the Least Common Multiple of 18541 and 18546?

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 18541 and 18546 is 343861386.

LCM(18541,18546) = 343861386

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Least Common Multiple of 18541 and 18546 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18541 and 18546, than apply into the LCM equation.

GCF(18541,18546) = 1
LCM(18541,18546) = ( 18541 × 18546) / 1
LCM(18541,18546) = 343861386 / 1
LCM(18541,18546) = 343861386

Least Common Multiple (LCM) of 18541 and 18546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18541 and 18546. First we will calculate the prime factors of 18541 and 18546.

Prime Factorization of 18541

Prime factors of 18541 are 18541. Prime factorization of 18541 in exponential form is:

18541 = 185411

Prime Factorization of 18546

Prime factors of 18546 are 2, 3, 11, 281. Prime factorization of 18546 in exponential form is:

18546 = 21 × 31 × 111 × 2811

Now multiplying the highest exponent prime factors to calculate the LCM of 18541 and 18546.

LCM(18541,18546) = 185411 × 21 × 31 × 111 × 2811
LCM(18541,18546) = 343861386