What is the Least Common Multiple of 55535 and 55539?
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 55535 and 55539 is 3084358365.
LCM(55535,55539) = 3084358365
Least Common Multiple of 55535 and 55539 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55535 and 55539, than apply into the LCM equation.
GCF(55535,55539) = 1
LCM(55535,55539) = ( 55535 × 55539) / 1
LCM(55535,55539) = 3084358365 / 1
LCM(55535,55539) = 3084358365
Least Common Multiple (LCM) of 55535 and 55539 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55535 and 55539. First we will calculate the prime factors of 55535 and 55539.
Prime Factorization of 55535
Prime factors of 55535 are 5, 29, 383. Prime factorization of 55535 in exponential form is:
55535 = 51 × 291 × 3831
Prime Factorization of 55539
Prime factors of 55539 are 3, 11, 17. Prime factorization of 55539 in exponential form is:
55539 = 33 × 112 × 171
Now multiplying the highest exponent prime factors to calculate the LCM of 55535 and 55539.
LCM(55535,55539) = 51 × 291 × 3831 × 33 × 112 × 171
LCM(55535,55539) = 3084358365
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