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What is the Least Common Multiple of 70423 and 70429?

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 70423 and 70429 is 4959821467.

LCM(70423,70429) = 4959821467

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Least Common Multiple of 70423 and 70429 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70423 and 70429, than apply into the LCM equation.

GCF(70423,70429) = 1
LCM(70423,70429) = ( 70423 × 70429) / 1
LCM(70423,70429) = 4959821467 / 1
LCM(70423,70429) = 4959821467

Least Common Multiple (LCM) of 70423 and 70429 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70423 and 70429. First we will calculate the prime factors of 70423 and 70429.

Prime Factorization of 70423

Prime factors of 70423 are 70423. Prime factorization of 70423 in exponential form is:

70423 = 704231

Prime Factorization of 70429

Prime factors of 70429 are 70429. Prime factorization of 70429 in exponential form is:

70429 = 704291

Now multiplying the highest exponent prime factors to calculate the LCM of 70423 and 70429.

LCM(70423,70429) = 704231 × 704291
LCM(70423,70429) = 4959821467