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What is the Least Common Multiple of 54994 and 55014?

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 54994 and 55014 is 1512719958.

LCM(54994,55014) = 1512719958

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Least Common Multiple of 54994 and 55014 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54994 and 55014, than apply into the LCM equation.

GCF(54994,55014) = 2
LCM(54994,55014) = ( 54994 × 55014) / 2
LCM(54994,55014) = 3025439916 / 2
LCM(54994,55014) = 1512719958

Least Common Multiple (LCM) of 54994 and 55014 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54994 and 55014. First we will calculate the prime factors of 54994 and 55014.

Prime Factorization of 54994

Prime factors of 54994 are 2, 31, 887. Prime factorization of 54994 in exponential form is:

54994 = 21 × 311 × 8871

Prime Factorization of 55014

Prime factors of 55014 are 2, 3, 53, 173. Prime factorization of 55014 in exponential form is:

55014 = 21 × 31 × 531 × 1731

Now multiplying the highest exponent prime factors to calculate the LCM of 54994 and 55014.

LCM(54994,55014) = 21 × 311 × 8871 × 31 × 531 × 1731
LCM(54994,55014) = 1512719958