GCF and LCM Calculator Logo

What is the Least Common Multiple of 321 and 338?

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 321 and 338 is 108498.

LCM(321,338) = 108498

LCM Calculator and
and

Least Common Multiple of 321 and 338 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 321 and 338, than apply into the LCM equation.

GCF(321,338) = 1
LCM(321,338) = ( 321 × 338) / 1
LCM(321,338) = 108498 / 1
LCM(321,338) = 108498

Least Common Multiple (LCM) of 321 and 338 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 321 and 338. First we will calculate the prime factors of 321 and 338.

Prime Factorization of 321

Prime factors of 321 are 3, 107. Prime factorization of 321 in exponential form is:

321 = 31 × 1071

Prime Factorization of 338

Prime factors of 338 are 2, 13. Prime factorization of 338 in exponential form is:

338 = 21 × 132

Now multiplying the highest exponent prime factors to calculate the LCM of 321 and 338.

LCM(321,338) = 31 × 1071 × 21 × 132
LCM(321,338) = 108498