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What is the Least Common Multiple of 65470 and 65482?

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 65470 and 65482 is 2143553270.

LCM(65470,65482) = 2143553270

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Least Common Multiple of 65470 and 65482 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65470 and 65482, than apply into the LCM equation.

GCF(65470,65482) = 2
LCM(65470,65482) = ( 65470 × 65482) / 2
LCM(65470,65482) = 4287106540 / 2
LCM(65470,65482) = 2143553270

Least Common Multiple (LCM) of 65470 and 65482 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65470 and 65482. First we will calculate the prime factors of 65470 and 65482.

Prime Factorization of 65470

Prime factors of 65470 are 2, 5, 6547. Prime factorization of 65470 in exponential form is:

65470 = 21 × 51 × 65471

Prime Factorization of 65482

Prime factors of 65482 are 2, 29, 1129. Prime factorization of 65482 in exponential form is:

65482 = 21 × 291 × 11291

Now multiplying the highest exponent prime factors to calculate the LCM of 65470 and 65482.

LCM(65470,65482) = 21 × 51 × 65471 × 291 × 11291
LCM(65470,65482) = 2143553270