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What is the Least Common Multiple of 55498 and 55517?

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 55498 and 55517 is 3081082466.

LCM(55498,55517) = 3081082466

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Least Common Multiple of 55498 and 55517 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55498 and 55517, than apply into the LCM equation.

GCF(55498,55517) = 1
LCM(55498,55517) = ( 55498 × 55517) / 1
LCM(55498,55517) = 3081082466 / 1
LCM(55498,55517) = 3081082466

Least Common Multiple (LCM) of 55498 and 55517 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55498 and 55517. First we will calculate the prime factors of 55498 and 55517.

Prime Factorization of 55498

Prime factors of 55498 are 2, 27749. Prime factorization of 55498 in exponential form is:

55498 = 21 × 277491

Prime Factorization of 55517

Prime factors of 55517 are 7, 11, 103. Prime factorization of 55517 in exponential form is:

55517 = 72 × 111 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 55498 and 55517.

LCM(55498,55517) = 21 × 277491 × 72 × 111 × 1031
LCM(55498,55517) = 3081082466