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
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
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