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What is the Least Common Multiple of 43283 and 43287?

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 43283 and 43287 is 1873591221.

LCM(43283,43287) = 1873591221

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Least Common Multiple of 43283 and 43287 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43283 and 43287, than apply into the LCM equation.

GCF(43283,43287) = 1
LCM(43283,43287) = ( 43283 × 43287) / 1
LCM(43283,43287) = 1873591221 / 1
LCM(43283,43287) = 1873591221

Least Common Multiple (LCM) of 43283 and 43287 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43283 and 43287. First we will calculate the prime factors of 43283 and 43287.

Prime Factorization of 43283

Prime factors of 43283 are 43283. Prime factorization of 43283 in exponential form is:

43283 = 432831

Prime Factorization of 43287

Prime factors of 43287 are 3, 47, 307. Prime factorization of 43287 in exponential form is:

43287 = 31 × 471 × 3071

Now multiplying the highest exponent prime factors to calculate the LCM of 43283 and 43287.

LCM(43283,43287) = 432831 × 31 × 471 × 3071
LCM(43283,43287) = 1873591221