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What is the Least Common Multiple of 43883 and 43895?

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 43883 and 43895 is 1926244285.

LCM(43883,43895) = 1926244285

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Least Common Multiple of 43883 and 43895 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43883 and 43895, than apply into the LCM equation.

GCF(43883,43895) = 1
LCM(43883,43895) = ( 43883 × 43895) / 1
LCM(43883,43895) = 1926244285 / 1
LCM(43883,43895) = 1926244285

Least Common Multiple (LCM) of 43883 and 43895 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43883 and 43895. First we will calculate the prime factors of 43883 and 43895.

Prime Factorization of 43883

Prime factors of 43883 are 7, 6269. Prime factorization of 43883 in exponential form is:

43883 = 71 × 62691

Prime Factorization of 43895

Prime factors of 43895 are 5, 8779. Prime factorization of 43895 in exponential form is:

43895 = 51 × 87791

Now multiplying the highest exponent prime factors to calculate the LCM of 43883 and 43895.

LCM(43883,43895) = 71 × 62691 × 51 × 87791
LCM(43883,43895) = 1926244285