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What is the Least Common Multiple of 29598 and 29606?

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 29598 and 29606 is 438139194.

LCM(29598,29606) = 438139194

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Least Common Multiple of 29598 and 29606 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29598 and 29606, than apply into the LCM equation.

GCF(29598,29606) = 2
LCM(29598,29606) = ( 29598 × 29606) / 2
LCM(29598,29606) = 876278388 / 2
LCM(29598,29606) = 438139194

Least Common Multiple (LCM) of 29598 and 29606 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29598 and 29606. First we will calculate the prime factors of 29598 and 29606.

Prime Factorization of 29598

Prime factors of 29598 are 2, 3, 4933. Prime factorization of 29598 in exponential form is:

29598 = 21 × 31 × 49331

Prime Factorization of 29606

Prime factors of 29606 are 2, 113, 131. Prime factorization of 29606 in exponential form is:

29606 = 21 × 1131 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 29598 and 29606.

LCM(29598,29606) = 21 × 31 × 49331 × 1131 × 1311
LCM(29598,29606) = 438139194