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What is the Least Common Multiple of 439 and 449?

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 439 and 449 is 197111.

LCM(439,449) = 197111

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Least Common Multiple of 439 and 449 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 439 and 449, than apply into the LCM equation.

GCF(439,449) = 1
LCM(439,449) = ( 439 × 449) / 1
LCM(439,449) = 197111 / 1
LCM(439,449) = 197111

Least Common Multiple (LCM) of 439 and 449 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 439 and 449. First we will calculate the prime factors of 439 and 449.

Prime Factorization of 439

Prime factors of 439 are 439. Prime factorization of 439 in exponential form is:

439 = 4391

Prime Factorization of 449

Prime factors of 449 are 449. Prime factorization of 449 in exponential form is:

449 = 4491

Now multiplying the highest exponent prime factors to calculate the LCM of 439 and 449.

LCM(439,449) = 4391 × 4491
LCM(439,449) = 197111