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What is the Least Common Multiple of 54988 and 55007?

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 54988 and 55007 is 3024724916.

LCM(54988,55007) = 3024724916

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Least Common Multiple of 54988 and 55007 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54988 and 55007, than apply into the LCM equation.

GCF(54988,55007) = 1
LCM(54988,55007) = ( 54988 × 55007) / 1
LCM(54988,55007) = 3024724916 / 1
LCM(54988,55007) = 3024724916

Least Common Multiple (LCM) of 54988 and 55007 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54988 and 55007. First we will calculate the prime factors of 54988 and 55007.

Prime Factorization of 54988

Prime factors of 54988 are 2, 59, 233. Prime factorization of 54988 in exponential form is:

54988 = 22 × 591 × 2331

Prime Factorization of 55007

Prime factors of 55007 are 67, 821. Prime factorization of 55007 in exponential form is:

55007 = 671 × 8211

Now multiplying the highest exponent prime factors to calculate the LCM of 54988 and 55007.

LCM(54988,55007) = 22 × 591 × 2331 × 671 × 8211
LCM(54988,55007) = 3024724916