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What is the Least Common Multiple of 41551 and 41555?

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 41551 and 41555 is 1726651805.

LCM(41551,41555) = 1726651805

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Least Common Multiple of 41551 and 41555 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41551 and 41555, than apply into the LCM equation.

GCF(41551,41555) = 1
LCM(41551,41555) = ( 41551 × 41555) / 1
LCM(41551,41555) = 1726651805 / 1
LCM(41551,41555) = 1726651805

Least Common Multiple (LCM) of 41551 and 41555 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41551 and 41555. First we will calculate the prime factors of 41551 and 41555.

Prime Factorization of 41551

Prime factors of 41551 are 37, 1123. Prime factorization of 41551 in exponential form is:

41551 = 371 × 11231

Prime Factorization of 41555

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

41555 = 51 × 83111

Now multiplying the highest exponent prime factors to calculate the LCM of 41551 and 41555.

LCM(41551,41555) = 371 × 11231 × 51 × 83111
LCM(41551,41555) = 1726651805