What is the Least Common Multiple of 343 and 357?
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 343 and 357 is 17493.
LCM(343,357) = 17493
Least Common Multiple of 343 and 357 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 343 and 357, than apply into the LCM equation.
GCF(343,357) = 7
LCM(343,357) = ( 343 × 357) / 7
LCM(343,357) = 122451 / 7
LCM(343,357) = 17493
Least Common Multiple (LCM) of 343 and 357 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 343 and 357. First we will calculate the prime factors of 343 and 357.
Prime Factorization of 343
Prime factors of 343 are 7. Prime factorization of 343 in exponential form is:
343 = 73
Prime Factorization of 357
Prime factors of 357 are 3, 7, 17. Prime factorization of 357 in exponential form is:
357 = 31 × 71 × 171
Now multiplying the highest exponent prime factors to calculate the LCM of 343 and 357.
LCM(343,357) = 73 × 31 × 171
LCM(343,357) = 17493
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