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What is the Least Common Multiple of 54828 and 54841?

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 54828 and 54841 is 3006822348.

LCM(54828,54841) = 3006822348

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Least Common Multiple of 54828 and 54841 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54828 and 54841, than apply into the LCM equation.

GCF(54828,54841) = 1
LCM(54828,54841) = ( 54828 × 54841) / 1
LCM(54828,54841) = 3006822348 / 1
LCM(54828,54841) = 3006822348

Least Common Multiple (LCM) of 54828 and 54841 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54828 and 54841. First we will calculate the prime factors of 54828 and 54841.

Prime Factorization of 54828

Prime factors of 54828 are 2, 3, 1523. Prime factorization of 54828 in exponential form is:

54828 = 22 × 32 × 15231

Prime Factorization of 54841

Prime factors of 54841 are 173, 317. Prime factorization of 54841 in exponential form is:

54841 = 1731 × 3171

Now multiplying the highest exponent prime factors to calculate the LCM of 54828 and 54841.

LCM(54828,54841) = 22 × 32 × 15231 × 1731 × 3171
LCM(54828,54841) = 3006822348