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What is the Least Common Multiple of 55989 and 55994?

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 55989 and 55994 is 3135048066.

LCM(55989,55994) = 3135048066

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Least Common Multiple of 55989 and 55994 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55989 and 55994, than apply into the LCM equation.

GCF(55989,55994) = 1
LCM(55989,55994) = ( 55989 × 55994) / 1
LCM(55989,55994) = 3135048066 / 1
LCM(55989,55994) = 3135048066

Least Common Multiple (LCM) of 55989 and 55994 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55989 and 55994. First we will calculate the prime factors of 55989 and 55994.

Prime Factorization of 55989

Prime factors of 55989 are 3, 6221. Prime factorization of 55989 in exponential form is:

55989 = 32 × 62211

Prime Factorization of 55994

Prime factors of 55994 are 2, 27997. Prime factorization of 55994 in exponential form is:

55994 = 21 × 279971

Now multiplying the highest exponent prime factors to calculate the LCM of 55989 and 55994.

LCM(55989,55994) = 32 × 62211 × 21 × 279971
LCM(55989,55994) = 3135048066