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What is the Least Common Multiple of 29418 and 29426?

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 29418 and 29426 is 432827034.

LCM(29418,29426) = 432827034

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Least Common Multiple of 29418 and 29426 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29418 and 29426, than apply into the LCM equation.

GCF(29418,29426) = 2
LCM(29418,29426) = ( 29418 × 29426) / 2
LCM(29418,29426) = 865654068 / 2
LCM(29418,29426) = 432827034

Least Common Multiple (LCM) of 29418 and 29426 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29418 and 29426. First we will calculate the prime factors of 29418 and 29426.

Prime Factorization of 29418

Prime factors of 29418 are 2, 3, 4903. Prime factorization of 29418 in exponential form is:

29418 = 21 × 31 × 49031

Prime Factorization of 29426

Prime factors of 29426 are 2, 14713. Prime factorization of 29426 in exponential form is:

29426 = 21 × 147131

Now multiplying the highest exponent prime factors to calculate the LCM of 29418 and 29426.

LCM(29418,29426) = 21 × 31 × 49031 × 147131
LCM(29418,29426) = 432827034