What is the Least Common Multiple of 319 and 333?
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 319 and 333 is 106227.
LCM(319,333) = 106227
Least Common Multiple of 319 and 333 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 319 and 333, than apply into the LCM equation.
GCF(319,333) = 1
LCM(319,333) = ( 319 × 333) / 1
LCM(319,333) = 106227 / 1
LCM(319,333) = 106227
Least Common Multiple (LCM) of 319 and 333 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 319 and 333. First we will calculate the prime factors of 319 and 333.
Prime Factorization of 319
Prime factors of 319 are 11, 29. Prime factorization of 319 in exponential form is:
319 = 111 × 291
Prime Factorization of 333
Prime factors of 333 are 3, 37. Prime factorization of 333 in exponential form is:
333 = 32 × 371
Now multiplying the highest exponent prime factors to calculate the LCM of 319 and 333.
LCM(319,333) = 111 × 291 × 32 × 371
LCM(319,333) = 106227
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