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What is the Least Common Multiple of 55756 and 55775?

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 55756 and 55775 is 3109790900.

LCM(55756,55775) = 3109790900

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Least Common Multiple of 55756 and 55775 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55756 and 55775, than apply into the LCM equation.

GCF(55756,55775) = 1
LCM(55756,55775) = ( 55756 × 55775) / 1
LCM(55756,55775) = 3109790900 / 1
LCM(55756,55775) = 3109790900

Least Common Multiple (LCM) of 55756 and 55775 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55756 and 55775. First we will calculate the prime factors of 55756 and 55775.

Prime Factorization of 55756

Prime factors of 55756 are 2, 53, 263. Prime factorization of 55756 in exponential form is:

55756 = 22 × 531 × 2631

Prime Factorization of 55775

Prime factors of 55775 are 5, 23, 97. Prime factorization of 55775 in exponential form is:

55775 = 52 × 231 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 55756 and 55775.

LCM(55756,55775) = 22 × 531 × 2631 × 52 × 231 × 971
LCM(55756,55775) = 3109790900