What is the Least Common Multiple of 55295 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 55295 and 55311 is 3058421745.
LCM(55295,55311) = 3058421745
Least Common Multiple of 55295 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 55295 and 55311, than apply into the LCM equation.
GCF(55295,55311) = 1
LCM(55295,55311) = ( 55295 × 55311) / 1
LCM(55295,55311) = 3058421745 / 1
LCM(55295,55311) = 3058421745
Least Common Multiple (LCM) of 55295 and 55311 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55295 and 55311. First we will calculate the prime factors of 55295 and 55311.
Prime Factorization of 55295
Prime factors of 55295 are 5, 11059. Prime factorization of 55295 in exponential form is:
55295 = 51 × 110591
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 55295 and 55311.
LCM(55295,55311) = 51 × 110591 × 31 × 1031 × 1791
LCM(55295,55311) = 3058421745
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