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What is the Least Common Multiple of 55765 and 55780?

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 55765 and 55780 is 622114340.

LCM(55765,55780) = 622114340

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Least Common Multiple of 55765 and 55780 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55765 and 55780, than apply into the LCM equation.

GCF(55765,55780) = 5
LCM(55765,55780) = ( 55765 × 55780) / 5
LCM(55765,55780) = 3110571700 / 5
LCM(55765,55780) = 622114340

Least Common Multiple (LCM) of 55765 and 55780 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55765 and 55780. First we will calculate the prime factors of 55765 and 55780.

Prime Factorization of 55765

Prime factors of 55765 are 5, 19, 587. Prime factorization of 55765 in exponential form is:

55765 = 51 × 191 × 5871

Prime Factorization of 55780

Prime factors of 55780 are 2, 5, 2789. Prime factorization of 55780 in exponential form is:

55780 = 22 × 51 × 27891

Now multiplying the highest exponent prime factors to calculate the LCM of 55765 and 55780.

LCM(55765,55780) = 51 × 191 × 5871 × 22 × 27891
LCM(55765,55780) = 622114340