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What is the Least Common Multiple of 4417 and 4427?

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 4417 and 4427 is 19554059.

LCM(4417,4427) = 19554059

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Least Common Multiple of 4417 and 4427 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4417 and 4427, than apply into the LCM equation.

GCF(4417,4427) = 1
LCM(4417,4427) = ( 4417 × 4427) / 1
LCM(4417,4427) = 19554059 / 1
LCM(4417,4427) = 19554059

Least Common Multiple (LCM) of 4417 and 4427 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4417 and 4427. First we will calculate the prime factors of 4417 and 4427.

Prime Factorization of 4417

Prime factors of 4417 are 7, 631. Prime factorization of 4417 in exponential form is:

4417 = 71 × 6311

Prime Factorization of 4427

Prime factors of 4427 are 19, 233. Prime factorization of 4427 in exponential form is:

4427 = 191 × 2331

Now multiplying the highest exponent prime factors to calculate the LCM of 4417 and 4427.

LCM(4417,4427) = 71 × 6311 × 191 × 2331
LCM(4417,4427) = 19554059