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What is the Least Common Multiple of 70243 and 70254?

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 70254 is 4934851722.

LCM(70243,70254) = 4934851722

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Least Common Multiple of 70243 and 70254 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 70254, than apply into the LCM equation.

GCF(70243,70254) = 1
LCM(70243,70254) = ( 70243 × 70254) / 1
LCM(70243,70254) = 4934851722 / 1
LCM(70243,70254) = 4934851722

Least Common Multiple (LCM) of 70243 and 70254 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70243 and 70254. First we will calculate the prime factors of 70243 and 70254.

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 70254

Prime factors of 70254 are 2, 3, 1301. Prime factorization of 70254 in exponential form is:

70254 = 21 × 33 × 13011

Now multiplying the highest exponent prime factors to calculate the LCM of 70243 and 70254.

LCM(70243,70254) = 191 × 36971 × 21 × 33 × 13011
LCM(70243,70254) = 4934851722