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What is the Least Common Multiple of 54889 and 54905?

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 54889 and 54905 is 3013680545.

LCM(54889,54905) = 3013680545

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Least Common Multiple of 54889 and 54905 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54889 and 54905, than apply into the LCM equation.

GCF(54889,54905) = 1
LCM(54889,54905) = ( 54889 × 54905) / 1
LCM(54889,54905) = 3013680545 / 1
LCM(54889,54905) = 3013680545

Least Common Multiple (LCM) of 54889 and 54905 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54889 and 54905. First we will calculate the prime factors of 54889 and 54905.

Prime Factorization of 54889

Prime factors of 54889 are 131, 419. Prime factorization of 54889 in exponential form is:

54889 = 1311 × 4191

Prime Factorization of 54905

Prime factors of 54905 are 5, 79, 139. Prime factorization of 54905 in exponential form is:

54905 = 51 × 791 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 54889 and 54905.

LCM(54889,54905) = 1311 × 4191 × 51 × 791 × 1391
LCM(54889,54905) = 3013680545