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What is the Least Common Multiple of 3413 and 3417?

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 3413 and 3417 is 11662221.

LCM(3413,3417) = 11662221

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Least Common Multiple of 3413 and 3417 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3413 and 3417, than apply into the LCM equation.

GCF(3413,3417) = 1
LCM(3413,3417) = ( 3413 × 3417) / 1
LCM(3413,3417) = 11662221 / 1
LCM(3413,3417) = 11662221

Least Common Multiple (LCM) of 3413 and 3417 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3413 and 3417. First we will calculate the prime factors of 3413 and 3417.

Prime Factorization of 3413

Prime factors of 3413 are 3413. Prime factorization of 3413 in exponential form is:

3413 = 34131

Prime Factorization of 3417

Prime factors of 3417 are 3, 17, 67. Prime factorization of 3417 in exponential form is:

3417 = 31 × 171 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 3413 and 3417.

LCM(3413,3417) = 34131 × 31 × 171 × 671
LCM(3413,3417) = 11662221