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What is the Least Common Multiple of 4413 and 4417?

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 4413 and 4417 is 19492221.

LCM(4413,4417) = 19492221

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Least Common Multiple of 4413 and 4417 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4413 and 4417, than apply into the LCM equation.

GCF(4413,4417) = 1
LCM(4413,4417) = ( 4413 × 4417) / 1
LCM(4413,4417) = 19492221 / 1
LCM(4413,4417) = 19492221

Least Common Multiple (LCM) of 4413 and 4417 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4413 and 4417. First we will calculate the prime factors of 4413 and 4417.

Prime Factorization of 4413

Prime factors of 4413 are 3, 1471. Prime factorization of 4413 in exponential form is:

4413 = 31 × 14711

Prime Factorization of 4417

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

4417 = 71 × 6311

Now multiplying the highest exponent prime factors to calculate the LCM of 4413 and 4417.

LCM(4413,4417) = 31 × 14711 × 71 × 6311
LCM(4413,4417) = 19492221