What is the Least Common Multiple of 4323 and 4327?
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 4323 and 4327 is 18705621.
LCM(4323,4327) = 18705621
Least Common Multiple of 4323 and 4327 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4323 and 4327, than apply into the LCM equation.
GCF(4323,4327) = 1
LCM(4323,4327) = ( 4323 × 4327) / 1
LCM(4323,4327) = 18705621 / 1
LCM(4323,4327) = 18705621
Least Common Multiple (LCM) of 4323 and 4327 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4323 and 4327. First we will calculate the prime factors of 4323 and 4327.
Prime Factorization of 4323
Prime factors of 4323 are 3, 11, 131. Prime factorization of 4323 in exponential form is:
4323 = 31 × 111 × 1311
Prime Factorization of 4327
Prime factors of 4327 are 4327. Prime factorization of 4327 in exponential form is:
4327 = 43271
Now multiplying the highest exponent prime factors to calculate the LCM of 4323 and 4327.
LCM(4323,4327) = 31 × 111 × 1311 × 43271
LCM(4323,4327) = 18705621
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