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What is the Least Common Multiple of 55658 and 55675?

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 55658 and 55675 is 182279950.

LCM(55658,55675) = 182279950

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Least Common Multiple of 55658 and 55675 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55658 and 55675, than apply into the LCM equation.

GCF(55658,55675) = 17
LCM(55658,55675) = ( 55658 × 55675) / 17
LCM(55658,55675) = 3098759150 / 17
LCM(55658,55675) = 182279950

Least Common Multiple (LCM) of 55658 and 55675 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55658 and 55675. First we will calculate the prime factors of 55658 and 55675.

Prime Factorization of 55658

Prime factors of 55658 are 2, 17, 1637. Prime factorization of 55658 in exponential form is:

55658 = 21 × 171 × 16371

Prime Factorization of 55675

Prime factors of 55675 are 5, 17, 131. Prime factorization of 55675 in exponential form is:

55675 = 52 × 171 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 55658 and 55675.

LCM(55658,55675) = 21 × 171 × 16371 × 52 × 1311
LCM(55658,55675) = 182279950