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What is the Least Common Multiple of 29386 and 29396?

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 29386 and 29396 is 431915428.

LCM(29386,29396) = 431915428

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Least Common Multiple of 29386 and 29396 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29386 and 29396, than apply into the LCM equation.

GCF(29386,29396) = 2
LCM(29386,29396) = ( 29386 × 29396) / 2
LCM(29386,29396) = 863830856 / 2
LCM(29386,29396) = 431915428

Least Common Multiple (LCM) of 29386 and 29396 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29386 and 29396. First we will calculate the prime factors of 29386 and 29396.

Prime Factorization of 29386

Prime factors of 29386 are 2, 7, 2099. Prime factorization of 29386 in exponential form is:

29386 = 21 × 71 × 20991

Prime Factorization of 29396

Prime factors of 29396 are 2, 7349. Prime factorization of 29396 in exponential form is:

29396 = 22 × 73491

Now multiplying the highest exponent prime factors to calculate the LCM of 29386 and 29396.

LCM(29386,29396) = 22 × 71 × 20991 × 73491
LCM(29386,29396) = 431915428