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What is the Least Common Multiple of 80815 and 80831?

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 80815 and 80831 is 6532357265.

LCM(80815,80831) = 6532357265

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Least Common Multiple of 80815 and 80831 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80815 and 80831, than apply into the LCM equation.

GCF(80815,80831) = 1
LCM(80815,80831) = ( 80815 × 80831) / 1
LCM(80815,80831) = 6532357265 / 1
LCM(80815,80831) = 6532357265

Least Common Multiple (LCM) of 80815 and 80831 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80815 and 80831. First we will calculate the prime factors of 80815 and 80831.

Prime Factorization of 80815

Prime factors of 80815 are 5, 7, 2309. Prime factorization of 80815 in exponential form is:

80815 = 51 × 71 × 23091

Prime Factorization of 80831

Prime factors of 80831 are 80831. Prime factorization of 80831 in exponential form is:

80831 = 808311

Now multiplying the highest exponent prime factors to calculate the LCM of 80815 and 80831.

LCM(80815,80831) = 51 × 71 × 23091 × 808311
LCM(80815,80831) = 6532357265