GCF and LCM Calculator Logo

What is the Least Common Multiple of 3398 and 3402?

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 3402 is 5779998.

LCM(3398,3402) = 5779998

LCM Calculator and
and

Least Common Multiple of 3398 and 3402 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 3402, than apply into the LCM equation.

GCF(3398,3402) = 2
LCM(3398,3402) = ( 3398 × 3402) / 2
LCM(3398,3402) = 11559996 / 2
LCM(3398,3402) = 5779998

Least Common Multiple (LCM) of 3398 and 3402 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3398 and 3402. First we will calculate the prime factors of 3398 and 3402.

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 3402

Prime factors of 3402 are 2, 3, 7. Prime factorization of 3402 in exponential form is:

3402 = 21 × 35 × 71

Now multiplying the highest exponent prime factors to calculate the LCM of 3398 and 3402.

LCM(3398,3402) = 21 × 16991 × 35 × 71
LCM(3398,3402) = 5779998