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What is the Least Common Multiple of 43503 and 43523?

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 43503 and 43523 is 1893381069.

LCM(43503,43523) = 1893381069

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Least Common Multiple of 43503 and 43523 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43503 and 43523, than apply into the LCM equation.

GCF(43503,43523) = 1
LCM(43503,43523) = ( 43503 × 43523) / 1
LCM(43503,43523) = 1893381069 / 1
LCM(43503,43523) = 1893381069

Least Common Multiple (LCM) of 43503 and 43523 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43503 and 43523. First we will calculate the prime factors of 43503 and 43523.

Prime Factorization of 43503

Prime factors of 43503 are 3, 17, 853. Prime factorization of 43503 in exponential form is:

43503 = 31 × 171 × 8531

Prime Factorization of 43523

Prime factors of 43523 are 71, 613. Prime factorization of 43523 in exponential form is:

43523 = 711 × 6131

Now multiplying the highest exponent prime factors to calculate the LCM of 43503 and 43523.

LCM(43503,43523) = 31 × 171 × 8531 × 711 × 6131
LCM(43503,43523) = 1893381069