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What is the Least Common Multiple of 41555 and 41559?

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 41555 and 41559 is 1726984245.

LCM(41555,41559) = 1726984245

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Least Common Multiple of 41555 and 41559 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41555 and 41559, than apply into the LCM equation.

GCF(41555,41559) = 1
LCM(41555,41559) = ( 41555 × 41559) / 1
LCM(41555,41559) = 1726984245 / 1
LCM(41555,41559) = 1726984245

Least Common Multiple (LCM) of 41555 and 41559 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41555 and 41559. First we will calculate the prime factors of 41555 and 41559.

Prime Factorization of 41555

Prime factors of 41555 are 5, 8311. Prime factorization of 41555 in exponential form is:

41555 = 51 × 83111

Prime Factorization of 41559

Prime factors of 41559 are 3, 7, 1979. Prime factorization of 41559 in exponential form is:

41559 = 31 × 71 × 19791

Now multiplying the highest exponent prime factors to calculate the LCM of 41555 and 41559.

LCM(41555,41559) = 51 × 83111 × 31 × 71 × 19791
LCM(41555,41559) = 1726984245