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What is the Least Common Multiple of 55468 and 55481?

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 55468 and 55481 is 3077420108.

LCM(55468,55481) = 3077420108

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Least Common Multiple of 55468 and 55481 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55468 and 55481, than apply into the LCM equation.

GCF(55468,55481) = 1
LCM(55468,55481) = ( 55468 × 55481) / 1
LCM(55468,55481) = 3077420108 / 1
LCM(55468,55481) = 3077420108

Least Common Multiple (LCM) of 55468 and 55481 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55468 and 55481. First we will calculate the prime factors of 55468 and 55481.

Prime Factorization of 55468

Prime factors of 55468 are 2, 7, 283. Prime factorization of 55468 in exponential form is:

55468 = 22 × 72 × 2831

Prime Factorization of 55481

Prime factors of 55481 are 109, 509. Prime factorization of 55481 in exponential form is:

55481 = 1091 × 5091

Now multiplying the highest exponent prime factors to calculate the LCM of 55468 and 55481.

LCM(55468,55481) = 22 × 72 × 2831 × 1091 × 5091
LCM(55468,55481) = 3077420108