What is the Least Common Multiple of 54323 and 54338?
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 54323 and 54338 is 2951803174.
LCM(54323,54338) = 2951803174
Least Common Multiple of 54323 and 54338 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54323 and 54338, than apply into the LCM equation.
GCF(54323,54338) = 1
LCM(54323,54338) = ( 54323 × 54338) / 1
LCM(54323,54338) = 2951803174 / 1
LCM(54323,54338) = 2951803174
Least Common Multiple (LCM) of 54323 and 54338 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54323 and 54338. First we will calculate the prime factors of 54323 and 54338.
Prime Factorization of 54323
Prime factors of 54323 are 54323. Prime factorization of 54323 in exponential form is:
54323 = 543231
Prime Factorization of 54338
Prime factors of 54338 are 2, 101, 269. Prime factorization of 54338 in exponential form is:
54338 = 21 × 1011 × 2691
Now multiplying the highest exponent prime factors to calculate the LCM of 54323 and 54338.
LCM(54323,54338) = 543231 × 21 × 1011 × 2691
LCM(54323,54338) = 2951803174
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