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What is the Least Common Multiple of 55795 and 55808?

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 55795 and 55808 is 3113807360.

LCM(55795,55808) = 3113807360

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Least Common Multiple of 55795 and 55808 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55795 and 55808, than apply into the LCM equation.

GCF(55795,55808) = 1
LCM(55795,55808) = ( 55795 × 55808) / 1
LCM(55795,55808) = 3113807360 / 1
LCM(55795,55808) = 3113807360

Least Common Multiple (LCM) of 55795 and 55808 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55795 and 55808. First we will calculate the prime factors of 55795 and 55808.

Prime Factorization of 55795

Prime factors of 55795 are 5, 11159. Prime factorization of 55795 in exponential form is:

55795 = 51 × 111591

Prime Factorization of 55808

Prime factors of 55808 are 2, 109. Prime factorization of 55808 in exponential form is:

55808 = 29 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 55795 and 55808.

LCM(55795,55808) = 51 × 111591 × 29 × 1091
LCM(55795,55808) = 3113807360