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What is the Least Common Multiple of 3408 and 3418?

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 3408 and 3418 is 5824272.

LCM(3408,3418) = 5824272

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Least Common Multiple of 3408 and 3418 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3408 and 3418, than apply into the LCM equation.

GCF(3408,3418) = 2
LCM(3408,3418) = ( 3408 × 3418) / 2
LCM(3408,3418) = 11648544 / 2
LCM(3408,3418) = 5824272

Least Common Multiple (LCM) of 3408 and 3418 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3408 and 3418. First we will calculate the prime factors of 3408 and 3418.

Prime Factorization of 3408

Prime factors of 3408 are 2, 3, 71. Prime factorization of 3408 in exponential form is:

3408 = 24 × 31 × 711

Prime Factorization of 3418

Prime factors of 3418 are 2, 1709. Prime factorization of 3418 in exponential form is:

3418 = 21 × 17091

Now multiplying the highest exponent prime factors to calculate the LCM of 3408 and 3418.

LCM(3408,3418) = 24 × 31 × 711 × 17091
LCM(3408,3418) = 5824272