What is the Least Common Multiple of 322 and 337?
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 322 and 337 is 108514.
LCM(322,337) = 108514
Least Common Multiple of 322 and 337 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 322 and 337, than apply into the LCM equation.
GCF(322,337) = 1
LCM(322,337) = ( 322 × 337) / 1
LCM(322,337) = 108514 / 1
LCM(322,337) = 108514
Least Common Multiple (LCM) of 322 and 337 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 322 and 337. First we will calculate the prime factors of 322 and 337.
Prime Factorization of 322
Prime factors of 322 are 2, 7, 23. Prime factorization of 322 in exponential form is:
322 = 21 × 71 × 231
Prime Factorization of 337
Prime factors of 337 are 337. Prime factorization of 337 in exponential form is:
337 = 3371
Now multiplying the highest exponent prime factors to calculate the LCM of 322 and 337.
LCM(322,337) = 21 × 71 × 231 × 3371
LCM(322,337) = 108514
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