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What is the Least Common Multiple of 70265 and 70282?

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 70265 and 70282 is 4938364730.

LCM(70265,70282) = 4938364730

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Least Common Multiple of 70265 and 70282 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70265 and 70282, than apply into the LCM equation.

GCF(70265,70282) = 1
LCM(70265,70282) = ( 70265 × 70282) / 1
LCM(70265,70282) = 4938364730 / 1
LCM(70265,70282) = 4938364730

Least Common Multiple (LCM) of 70265 and 70282 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70265 and 70282. First we will calculate the prime factors of 70265 and 70282.

Prime Factorization of 70265

Prime factors of 70265 are 5, 13, 23, 47. Prime factorization of 70265 in exponential form is:

70265 = 51 × 131 × 231 × 471

Prime Factorization of 70282

Prime factors of 70282 are 2, 35141. Prime factorization of 70282 in exponential form is:

70282 = 21 × 351411

Now multiplying the highest exponent prime factors to calculate the LCM of 70265 and 70282.

LCM(70265,70282) = 51 × 131 × 231 × 471 × 21 × 351411
LCM(70265,70282) = 4938364730