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What is the Least Common Multiple of 55430 and 55443?

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 55430 and 55443 is 3073205490.

LCM(55430,55443) = 3073205490

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Least Common Multiple of 55430 and 55443 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55430 and 55443, than apply into the LCM equation.

GCF(55430,55443) = 1
LCM(55430,55443) = ( 55430 × 55443) / 1
LCM(55430,55443) = 3073205490 / 1
LCM(55430,55443) = 3073205490

Least Common Multiple (LCM) of 55430 and 55443 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55430 and 55443. First we will calculate the prime factors of 55430 and 55443.

Prime Factorization of 55430

Prime factors of 55430 are 2, 5, 23, 241. Prime factorization of 55430 in exponential form is:

55430 = 21 × 51 × 231 × 2411

Prime Factorization of 55443

Prime factors of 55443 are 3, 18481. Prime factorization of 55443 in exponential form is:

55443 = 31 × 184811

Now multiplying the highest exponent prime factors to calculate the LCM of 55430 and 55443.

LCM(55430,55443) = 21 × 51 × 231 × 2411 × 31 × 184811
LCM(55430,55443) = 3073205490