What is the Least Common Multiple of 1327 and 1333?
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 1327 and 1333 is 1768891.
LCM(1327,1333) = 1768891
Least Common Multiple of 1327 and 1333 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1327 and 1333, than apply into the LCM equation.
GCF(1327,1333) = 1
LCM(1327,1333) = ( 1327 × 1333) / 1
LCM(1327,1333) = 1768891 / 1
LCM(1327,1333) = 1768891
Least Common Multiple (LCM) of 1327 and 1333 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 1327 and 1333. First we will calculate the prime factors of 1327 and 1333.
Prime Factorization of 1327
Prime factors of 1327 are 1327. Prime factorization of 1327 in exponential form is:
1327 = 13271
Prime Factorization of 1333
Prime factors of 1333 are 31, 43. Prime factorization of 1333 in exponential form is:
1333 = 311 × 431
Now multiplying the highest exponent prime factors to calculate the LCM of 1327 and 1333.
LCM(1327,1333) = 13271 × 311 × 431
LCM(1327,1333) = 1768891
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