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What is the Least Common Multiple of 4409 and 4419?

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 4409 and 4419 is 19483371.

LCM(4409,4419) = 19483371

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Least Common Multiple of 4409 and 4419 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4409 and 4419, than apply into the LCM equation.

GCF(4409,4419) = 1
LCM(4409,4419) = ( 4409 × 4419) / 1
LCM(4409,4419) = 19483371 / 1
LCM(4409,4419) = 19483371

Least Common Multiple (LCM) of 4409 and 4419 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4409 and 4419. First we will calculate the prime factors of 4409 and 4419.

Prime Factorization of 4409

Prime factors of 4409 are 4409. Prime factorization of 4409 in exponential form is:

4409 = 44091

Prime Factorization of 4419

Prime factors of 4419 are 3, 491. Prime factorization of 4419 in exponential form is:

4419 = 32 × 4911

Now multiplying the highest exponent prime factors to calculate the LCM of 4409 and 4419.

LCM(4409,4419) = 44091 × 32 × 4911
LCM(4409,4419) = 19483371