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What is the Least Common Multiple of 65828 and 65845?

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 65828 and 65845 is 4334444660.

LCM(65828,65845) = 4334444660

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Least Common Multiple of 65828 and 65845 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65828 and 65845, than apply into the LCM equation.

GCF(65828,65845) = 1
LCM(65828,65845) = ( 65828 × 65845) / 1
LCM(65828,65845) = 4334444660 / 1
LCM(65828,65845) = 4334444660

Least Common Multiple (LCM) of 65828 and 65845 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65828 and 65845. First we will calculate the prime factors of 65828 and 65845.

Prime Factorization of 65828

Prime factors of 65828 are 2, 7, 2351. Prime factorization of 65828 in exponential form is:

65828 = 22 × 71 × 23511

Prime Factorization of 65845

Prime factors of 65845 are 5, 13, 1013. Prime factorization of 65845 in exponential form is:

65845 = 51 × 131 × 10131

Now multiplying the highest exponent prime factors to calculate the LCM of 65828 and 65845.

LCM(65828,65845) = 22 × 71 × 23511 × 51 × 131 × 10131
LCM(65828,65845) = 4334444660