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What is the Least Common Multiple of 81035 and 81039?

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 81035 and 81039 is 6566995365.

LCM(81035,81039) = 6566995365

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Least Common Multiple of 81035 and 81039 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81035 and 81039, than apply into the LCM equation.

GCF(81035,81039) = 1
LCM(81035,81039) = ( 81035 × 81039) / 1
LCM(81035,81039) = 6566995365 / 1
LCM(81035,81039) = 6566995365

Least Common Multiple (LCM) of 81035 and 81039 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81035 and 81039. First we will calculate the prime factors of 81035 and 81039.

Prime Factorization of 81035

Prime factors of 81035 are 5, 19, 853. Prime factorization of 81035 in exponential form is:

81035 = 51 × 191 × 8531

Prime Factorization of 81039

Prime factors of 81039 are 3, 7, 17, 227. Prime factorization of 81039 in exponential form is:

81039 = 31 × 71 × 171 × 2271

Now multiplying the highest exponent prime factors to calculate the LCM of 81035 and 81039.

LCM(81035,81039) = 51 × 191 × 8531 × 31 × 71 × 171 × 2271
LCM(81035,81039) = 6566995365