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What is the Least Common Multiple of 55796 and 55805?

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 55796 and 55805 is 3113695780.

LCM(55796,55805) = 3113695780

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Least Common Multiple of 55796 and 55805 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55796 and 55805, than apply into the LCM equation.

GCF(55796,55805) = 1
LCM(55796,55805) = ( 55796 × 55805) / 1
LCM(55796,55805) = 3113695780 / 1
LCM(55796,55805) = 3113695780

Least Common Multiple (LCM) of 55796 and 55805 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55796 and 55805. First we will calculate the prime factors of 55796 and 55805.

Prime Factorization of 55796

Prime factors of 55796 are 2, 13, 29, 37. Prime factorization of 55796 in exponential form is:

55796 = 22 × 131 × 291 × 371

Prime Factorization of 55805

Prime factors of 55805 are 5, 11161. Prime factorization of 55805 in exponential form is:

55805 = 51 × 111611

Now multiplying the highest exponent prime factors to calculate the LCM of 55796 and 55805.

LCM(55796,55805) = 22 × 131 × 291 × 371 × 51 × 111611
LCM(55796,55805) = 3113695780