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What is the Least Common Multiple of 3398 and 3408?

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 3398 and 3408 is 5790192.

LCM(3398,3408) = 5790192

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Least Common Multiple of 3398 and 3408 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3398 and 3408, than apply into the LCM equation.

GCF(3398,3408) = 2
LCM(3398,3408) = ( 3398 × 3408) / 2
LCM(3398,3408) = 11580384 / 2
LCM(3398,3408) = 5790192

Least Common Multiple (LCM) of 3398 and 3408 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3398 and 3408. First we will calculate the prime factors of 3398 and 3408.

Prime Factorization of 3398

Prime factors of 3398 are 2, 1699. Prime factorization of 3398 in exponential form is:

3398 = 21 × 16991

Prime Factorization of 3408

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

3408 = 24 × 31 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 3398 and 3408.

LCM(3398,3408) = 24 × 16991 × 31 × 711
LCM(3398,3408) = 5790192