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What is the Least Common Multiple of 55757 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 55757 and 55775 is 3109846675.

LCM(55757,55775) = 3109846675

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Least Common Multiple of 55757 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 55757 and 55775, than apply into the LCM equation.

GCF(55757,55775) = 1
LCM(55757,55775) = ( 55757 × 55775) / 1
LCM(55757,55775) = 3109846675 / 1
LCM(55757,55775) = 3109846675

Least Common Multiple (LCM) of 55757 and 55775 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55757 and 55775. First we will calculate the prime factors of 55757 and 55775.

Prime Factorization of 55757

Prime factors of 55757 are 13, 4289. Prime factorization of 55757 in exponential form is:

55757 = 131 × 42891

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 55757 and 55775.

LCM(55757,55775) = 131 × 42891 × 52 × 231 × 971
LCM(55757,55775) = 3109846675