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What is the Least Common Multiple of 3401 and 3416?

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 3401 and 3416 is 11617816.

LCM(3401,3416) = 11617816

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Least Common Multiple of 3401 and 3416 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3401 and 3416, than apply into the LCM equation.

GCF(3401,3416) = 1
LCM(3401,3416) = ( 3401 × 3416) / 1
LCM(3401,3416) = 11617816 / 1
LCM(3401,3416) = 11617816

Least Common Multiple (LCM) of 3401 and 3416 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3401 and 3416. First we will calculate the prime factors of 3401 and 3416.

Prime Factorization of 3401

Prime factors of 3401 are 19, 179. Prime factorization of 3401 in exponential form is:

3401 = 191 × 1791

Prime Factorization of 3416

Prime factors of 3416 are 2, 7, 61. Prime factorization of 3416 in exponential form is:

3416 = 23 × 71 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 3401 and 3416.

LCM(3401,3416) = 191 × 1791 × 23 × 71 × 611
LCM(3401,3416) = 11617816