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What is the Least Common Multiple of 35339 and 35344?

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 35339 and 35344 is 1249021616.

LCM(35339,35344) = 1249021616

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Least Common Multiple of 35339 and 35344 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35339 and 35344, than apply into the LCM equation.

GCF(35339,35344) = 1
LCM(35339,35344) = ( 35339 × 35344) / 1
LCM(35339,35344) = 1249021616 / 1
LCM(35339,35344) = 1249021616

Least Common Multiple (LCM) of 35339 and 35344 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35339 and 35344. First we will calculate the prime factors of 35339 and 35344.

Prime Factorization of 35339

Prime factors of 35339 are 35339. Prime factorization of 35339 in exponential form is:

35339 = 353391

Prime Factorization of 35344

Prime factors of 35344 are 2, 47. Prime factorization of 35344 in exponential form is:

35344 = 24 × 472

Now multiplying the highest exponent prime factors to calculate the LCM of 35339 and 35344.

LCM(35339,35344) = 353391 × 24 × 472
LCM(35339,35344) = 1249021616