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What is the Least Common Multiple of 80935 and 80939?

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 80935 and 80939 is 6550797965.

LCM(80935,80939) = 6550797965

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Least Common Multiple of 80935 and 80939 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80935 and 80939, than apply into the LCM equation.

GCF(80935,80939) = 1
LCM(80935,80939) = ( 80935 × 80939) / 1
LCM(80935,80939) = 6550797965 / 1
LCM(80935,80939) = 6550797965

Least Common Multiple (LCM) of 80935 and 80939 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80935 and 80939. First we will calculate the prime factors of 80935 and 80939.

Prime Factorization of 80935

Prime factors of 80935 are 5, 16187. Prime factorization of 80935 in exponential form is:

80935 = 51 × 161871

Prime Factorization of 80939

Prime factors of 80939 are 29, 2791. Prime factorization of 80939 in exponential form is:

80939 = 291 × 27911

Now multiplying the highest exponent prime factors to calculate the LCM of 80935 and 80939.

LCM(80935,80939) = 51 × 161871 × 291 × 27911
LCM(80935,80939) = 6550797965