What is the Least Common Multiple of 55558 and 55565?
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 55558 and 55565 is 3087080270.
LCM(55558,55565) = 3087080270
Least Common Multiple of 55558 and 55565 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55558 and 55565, than apply into the LCM equation.
GCF(55558,55565) = 1
LCM(55558,55565) = ( 55558 × 55565) / 1
LCM(55558,55565) = 3087080270 / 1
LCM(55558,55565) = 3087080270
Least Common Multiple (LCM) of 55558 and 55565 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55558 and 55565. First we will calculate the prime factors of 55558 and 55565.
Prime Factorization of 55558
Prime factors of 55558 are 2, 27779. Prime factorization of 55558 in exponential form is:
55558 = 21 × 277791
Prime Factorization of 55565
Prime factors of 55565 are 5, 11113. Prime factorization of 55565 in exponential form is:
55565 = 51 × 111131
Now multiplying the highest exponent prime factors to calculate the LCM of 55558 and 55565.
LCM(55558,55565) = 21 × 277791 × 51 × 111131
LCM(55558,55565) = 3087080270
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