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What is the Least Common Multiple of 55753 and 55757?

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 55753 and 55757 is 3108620021.

LCM(55753,55757) = 3108620021

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Least Common Multiple of 55753 and 55757 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55753 and 55757, than apply into the LCM equation.

GCF(55753,55757) = 1
LCM(55753,55757) = ( 55753 × 55757) / 1
LCM(55753,55757) = 3108620021 / 1
LCM(55753,55757) = 3108620021

Least Common Multiple (LCM) of 55753 and 55757 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55753 and 55757. First we will calculate the prime factors of 55753 and 55757.

Prime Factorization of 55753

Prime factors of 55753 are 127, 439. Prime factorization of 55753 in exponential form is:

55753 = 1271 × 4391

Prime Factorization of 55757

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

55757 = 131 × 42891

Now multiplying the highest exponent prime factors to calculate the LCM of 55753 and 55757.

LCM(55753,55757) = 1271 × 4391 × 131 × 42891
LCM(55753,55757) = 3108620021