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What is the Least Common Multiple of 80933 and 80943?

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 80933 and 80943 is 6550959819.

LCM(80933,80943) = 6550959819

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Least Common Multiple of 80933 and 80943 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80933 and 80943, than apply into the LCM equation.

GCF(80933,80943) = 1
LCM(80933,80943) = ( 80933 × 80943) / 1
LCM(80933,80943) = 6550959819 / 1
LCM(80933,80943) = 6550959819

Least Common Multiple (LCM) of 80933 and 80943 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80933 and 80943. First we will calculate the prime factors of 80933 and 80943.

Prime Factorization of 80933

Prime factors of 80933 are 80933. Prime factorization of 80933 in exponential form is:

80933 = 809331

Prime Factorization of 80943

Prime factors of 80943 are 3, 26981. Prime factorization of 80943 in exponential form is:

80943 = 31 × 269811

Now multiplying the highest exponent prime factors to calculate the LCM of 80933 and 80943.

LCM(80933,80943) = 809331 × 31 × 269811
LCM(80933,80943) = 6550959819