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What is the Least Common Multiple of 55483 and 55503?

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 55483 and 55503 is 3079472949.

LCM(55483,55503) = 3079472949

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Least Common Multiple of 55483 and 55503 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55483 and 55503, than apply into the LCM equation.

GCF(55483,55503) = 1
LCM(55483,55503) = ( 55483 × 55503) / 1
LCM(55483,55503) = 3079472949 / 1
LCM(55483,55503) = 3079472949

Least Common Multiple (LCM) of 55483 and 55503 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55483 and 55503. First we will calculate the prime factors of 55483 and 55503.

Prime Factorization of 55483

Prime factors of 55483 are 113, 491. Prime factorization of 55483 in exponential form is:

55483 = 1131 × 4911

Prime Factorization of 55503

Prime factors of 55503 are 3, 7, 881. Prime factorization of 55503 in exponential form is:

55503 = 32 × 71 × 8811

Now multiplying the highest exponent prime factors to calculate the LCM of 55483 and 55503.

LCM(55483,55503) = 1131 × 4911 × 32 × 71 × 8811
LCM(55483,55503) = 3079472949