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What is the Least Common Multiple of 4414 and 4421?

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 4414 and 4421 is 19514294.

LCM(4414,4421) = 19514294

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Least Common Multiple of 4414 and 4421 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4414 and 4421, than apply into the LCM equation.

GCF(4414,4421) = 1
LCM(4414,4421) = ( 4414 × 4421) / 1
LCM(4414,4421) = 19514294 / 1
LCM(4414,4421) = 19514294

Least Common Multiple (LCM) of 4414 and 4421 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4414 and 4421. First we will calculate the prime factors of 4414 and 4421.

Prime Factorization of 4414

Prime factors of 4414 are 2, 2207. Prime factorization of 4414 in exponential form is:

4414 = 21 × 22071

Prime Factorization of 4421

Prime factors of 4421 are 4421. Prime factorization of 4421 in exponential form is:

4421 = 44211

Now multiplying the highest exponent prime factors to calculate the LCM of 4414 and 4421.

LCM(4414,4421) = 21 × 22071 × 44211
LCM(4414,4421) = 19514294