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What is the Least Common Multiple of 54994 and 55009?

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 55009 is 3025164946.

LCM(54994,55009) = 3025164946

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Least Common Multiple of 54994 and 55009 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 55009, than apply into the LCM equation.

GCF(54994,55009) = 1
LCM(54994,55009) = ( 54994 × 55009) / 1
LCM(54994,55009) = 3025164946 / 1
LCM(54994,55009) = 3025164946

Least Common Multiple (LCM) of 54994 and 55009 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54994 and 55009. First we will calculate the prime factors of 54994 and 55009.

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 55009

Prime factors of 55009 are 55009. Prime factorization of 55009 in exponential form is:

55009 = 550091

Now multiplying the highest exponent prime factors to calculate the LCM of 54994 and 55009.

LCM(54994,55009) = 21 × 311 × 8871 × 550091
LCM(54994,55009) = 3025164946