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What is the Least Common Multiple of 70243 and 70256?

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 70256 is 4934992208.

LCM(70243,70256) = 4934992208

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Least Common Multiple of 70243 and 70256 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 70256, than apply into the LCM equation.

GCF(70243,70256) = 1
LCM(70243,70256) = ( 70243 × 70256) / 1
LCM(70243,70256) = 4934992208 / 1
LCM(70243,70256) = 4934992208

Least Common Multiple (LCM) of 70243 and 70256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70243 and 70256. First we will calculate the prime factors of 70243 and 70256.

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 70256

Prime factors of 70256 are 2, 4391. Prime factorization of 70256 in exponential form is:

70256 = 24 × 43911

Now multiplying the highest exponent prime factors to calculate the LCM of 70243 and 70256.

LCM(70243,70256) = 191 × 36971 × 24 × 43911
LCM(70243,70256) = 4934992208