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What is the Least Common Multiple of 70243 and 70255?

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 70243 and 70255 is 4934921965.

LCM(70243,70255) = 4934921965

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Least Common Multiple of 70243 and 70255 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70243 and 70255, than apply into the LCM equation.

GCF(70243,70255) = 1
LCM(70243,70255) = ( 70243 × 70255) / 1
LCM(70243,70255) = 4934921965 / 1
LCM(70243,70255) = 4934921965

Least Common Multiple (LCM) of 70243 and 70255 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70243 and 70255. First we will calculate the prime factors of 70243 and 70255.

Prime Factorization of 70243

Prime factors of 70243 are 19, 3697. Prime factorization of 70243 in exponential form is:

70243 = 191 × 36971

Prime Factorization of 70255

Prime factors of 70255 are 5, 14051. Prime factorization of 70255 in exponential form is:

70255 = 51 × 140511

Now multiplying the highest exponent prime factors to calculate the LCM of 70243 and 70255.

LCM(70243,70255) = 191 × 36971 × 51 × 140511
LCM(70243,70255) = 4934921965