What is the Least Common Multiple of 330 and 341?
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 330 and 341 is 10230.
LCM(330,341) = 10230
Least Common Multiple of 330 and 341 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 330 and 341, than apply into the LCM equation.
GCF(330,341) = 11
LCM(330,341) = ( 330 × 341) / 11
LCM(330,341) = 112530 / 11
LCM(330,341) = 10230
Least Common Multiple (LCM) of 330 and 341 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 330 and 341. First we will calculate the prime factors of 330 and 341.
Prime Factorization of 330
Prime factors of 330 are 2, 3, 5, 11. Prime factorization of 330 in exponential form is:
330 = 21 × 31 × 51 × 111
Prime Factorization of 341
Prime factors of 341 are 11, 31. Prime factorization of 341 in exponential form is:
341 = 111 × 311
Now multiplying the highest exponent prime factors to calculate the LCM of 330 and 341.
LCM(330,341) = 21 × 31 × 51 × 111 × 311
LCM(330,341) = 10230
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