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What is the Least Common Multiple of 81265 and 81269?

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 81265 and 81269 is 6604325285.

LCM(81265,81269) = 6604325285

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Least Common Multiple of 81265 and 81269 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81265 and 81269, than apply into the LCM equation.

GCF(81265,81269) = 1
LCM(81265,81269) = ( 81265 × 81269) / 1
LCM(81265,81269) = 6604325285 / 1
LCM(81265,81269) = 6604325285

Least Common Multiple (LCM) of 81265 and 81269 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81265 and 81269. First we will calculate the prime factors of 81265 and 81269.

Prime Factorization of 81265

Prime factors of 81265 are 5, 16253. Prime factorization of 81265 in exponential form is:

81265 = 51 × 162531

Prime Factorization of 81269

Prime factors of 81269 are 181, 449. Prime factorization of 81269 in exponential form is:

81269 = 1811 × 4491

Now multiplying the highest exponent prime factors to calculate the LCM of 81265 and 81269.

LCM(81265,81269) = 51 × 162531 × 1811 × 4491
LCM(81265,81269) = 6604325285