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What is the Least Common Multiple of 54993 and 55006?

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 54993 and 55006 is 3024944958.

LCM(54993,55006) = 3024944958

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Least Common Multiple of 54993 and 55006 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54993 and 55006, than apply into the LCM equation.

GCF(54993,55006) = 1
LCM(54993,55006) = ( 54993 × 55006) / 1
LCM(54993,55006) = 3024944958 / 1
LCM(54993,55006) = 3024944958

Least Common Multiple (LCM) of 54993 and 55006 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54993 and 55006. First we will calculate the prime factors of 54993 and 55006.

Prime Factorization of 54993

Prime factors of 54993 are 3, 23, 797. Prime factorization of 54993 in exponential form is:

54993 = 31 × 231 × 7971

Prime Factorization of 55006

Prime factors of 55006 are 2, 7, 3929. Prime factorization of 55006 in exponential form is:

55006 = 21 × 71 × 39291

Now multiplying the highest exponent prime factors to calculate the LCM of 54993 and 55006.

LCM(54993,55006) = 31 × 231 × 7971 × 21 × 71 × 39291
LCM(54993,55006) = 3024944958