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What is the Least Common Multiple of 55482 and 55498?

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 55482 and 55498 is 1539570018.

LCM(55482,55498) = 1539570018

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Least Common Multiple of 55482 and 55498 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55482 and 55498, than apply into the LCM equation.

GCF(55482,55498) = 2
LCM(55482,55498) = ( 55482 × 55498) / 2
LCM(55482,55498) = 3079140036 / 2
LCM(55482,55498) = 1539570018

Least Common Multiple (LCM) of 55482 and 55498 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55482 and 55498. First we will calculate the prime factors of 55482 and 55498.

Prime Factorization of 55482

Prime factors of 55482 are 2, 3, 7, 1321. Prime factorization of 55482 in exponential form is:

55482 = 21 × 31 × 71 × 13211

Prime Factorization of 55498

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

55498 = 21 × 277491

Now multiplying the highest exponent prime factors to calculate the LCM of 55482 and 55498.

LCM(55482,55498) = 21 × 31 × 71 × 13211 × 277491
LCM(55482,55498) = 1539570018