What is the Least Common Multiple of 55715 and 55727?
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 55715 and 55727 is 3104829805.
LCM(55715,55727) = 3104829805
Least Common Multiple of 55715 and 55727 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55715 and 55727, than apply into the LCM equation.
GCF(55715,55727) = 1
LCM(55715,55727) = ( 55715 × 55727) / 1
LCM(55715,55727) = 3104829805 / 1
LCM(55715,55727) = 3104829805
Least Common Multiple (LCM) of 55715 and 55727 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55715 and 55727. First we will calculate the prime factors of 55715 and 55727.
Prime Factorization of 55715
Prime factors of 55715 are 5, 11, 1013. Prime factorization of 55715 in exponential form is:
55715 = 51 × 111 × 10131
Prime Factorization of 55727
Prime factors of 55727 are 7, 19, 419. Prime factorization of 55727 in exponential form is:
55727 = 71 × 191 × 4191
Now multiplying the highest exponent prime factors to calculate the LCM of 55715 and 55727.
LCM(55715,55727) = 51 × 111 × 10131 × 71 × 191 × 4191
LCM(55715,55727) = 3104829805
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