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What is the Least Common Multiple of 58828 and 58841?

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 58828 and 58841 is 3461498348.

LCM(58828,58841) = 3461498348

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Least Common Multiple of 58828 and 58841 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58828 and 58841, than apply into the LCM equation.

GCF(58828,58841) = 1
LCM(58828,58841) = ( 58828 × 58841) / 1
LCM(58828,58841) = 3461498348 / 1
LCM(58828,58841) = 3461498348

Least Common Multiple (LCM) of 58828 and 58841 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58828 and 58841. First we will calculate the prime factors of 58828 and 58841.

Prime Factorization of 58828

Prime factors of 58828 are 2, 7, 11, 191. Prime factorization of 58828 in exponential form is:

58828 = 22 × 71 × 111 × 1911

Prime Factorization of 58841

Prime factors of 58841 are 29, 2029. Prime factorization of 58841 in exponential form is:

58841 = 291 × 20291

Now multiplying the highest exponent prime factors to calculate the LCM of 58828 and 58841.

LCM(58828,58841) = 22 × 71 × 111 × 1911 × 291 × 20291
LCM(58828,58841) = 3461498348