What is the Least Common Multiple of 55296 and 55311?
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 55296 and 55311 is 1019492352.
LCM(55296,55311) = 1019492352
Least Common Multiple of 55296 and 55311 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55296 and 55311, than apply into the LCM equation.
GCF(55296,55311) = 3
LCM(55296,55311) = ( 55296 × 55311) / 3
LCM(55296,55311) = 3058477056 / 3
LCM(55296,55311) = 1019492352
Least Common Multiple (LCM) of 55296 and 55311 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55296 and 55311. First we will calculate the prime factors of 55296 and 55311.
Prime Factorization of 55296
Prime factors of 55296 are 2, 3. Prime factorization of 55296 in exponential form is:
55296 = 211 × 33
Prime Factorization of 55311
Prime factors of 55311 are 3, 103, 179. Prime factorization of 55311 in exponential form is:
55311 = 31 × 1031 × 1791
Now multiplying the highest exponent prime factors to calculate the LCM of 55296 and 55311.
LCM(55296,55311) = 211 × 33 × 1031 × 1791
LCM(55296,55311) = 1019492352
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