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What is the Least Common Multiple of 55639 and 55658?

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 55639 and 55658 is 3096755462.

LCM(55639,55658) = 3096755462

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Least Common Multiple of 55639 and 55658 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55639 and 55658, than apply into the LCM equation.

GCF(55639,55658) = 1
LCM(55639,55658) = ( 55639 × 55658) / 1
LCM(55639,55658) = 3096755462 / 1
LCM(55639,55658) = 3096755462

Least Common Multiple (LCM) of 55639 and 55658 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55639 and 55658. First we will calculate the prime factors of 55639 and 55658.

Prime Factorization of 55639

Prime factors of 55639 are 55639. Prime factorization of 55639 in exponential form is:

55639 = 556391

Prime Factorization of 55658

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

55658 = 21 × 171 × 16371

Now multiplying the highest exponent prime factors to calculate the LCM of 55639 and 55658.

LCM(55639,55658) = 556391 × 21 × 171 × 16371
LCM(55639,55658) = 3096755462