What is the Least Common Multiple of 333 and 343?
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 333 and 343 is 114219.
LCM(333,343) = 114219
Least Common Multiple of 333 and 343 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 333 and 343, than apply into the LCM equation.
GCF(333,343) = 1
LCM(333,343) = ( 333 × 343) / 1
LCM(333,343) = 114219 / 1
LCM(333,343) = 114219
Least Common Multiple (LCM) of 333 and 343 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 333 and 343. First we will calculate the prime factors of 333 and 343.
Prime Factorization of 333
Prime factors of 333 are 3, 37. Prime factorization of 333 in exponential form is:
333 = 32 × 371
Prime Factorization of 343
Prime factors of 343 are 7. Prime factorization of 343 in exponential form is:
343 = 73
Now multiplying the highest exponent prime factors to calculate the LCM of 333 and 343.
LCM(333,343) = 32 × 371 × 73
LCM(333,343) = 114219
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