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What is the Least Common Multiple of 43506 and 43519?

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 43506 and 43519 is 1893337614.

LCM(43506,43519) = 1893337614

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Least Common Multiple of 43506 and 43519 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43506 and 43519, than apply into the LCM equation.

GCF(43506,43519) = 1
LCM(43506,43519) = ( 43506 × 43519) / 1
LCM(43506,43519) = 1893337614 / 1
LCM(43506,43519) = 1893337614

Least Common Multiple (LCM) of 43506 and 43519 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43506 and 43519. First we will calculate the prime factors of 43506 and 43519.

Prime Factorization of 43506

Prime factors of 43506 are 2, 3, 2417. Prime factorization of 43506 in exponential form is:

43506 = 21 × 32 × 24171

Prime Factorization of 43519

Prime factors of 43519 are 7, 6217. Prime factorization of 43519 in exponential form is:

43519 = 71 × 62171

Now multiplying the highest exponent prime factors to calculate the LCM of 43506 and 43519.

LCM(43506,43519) = 21 × 32 × 24171 × 71 × 62171
LCM(43506,43519) = 1893337614