What is the Least Common Multiple of 55591 and 55597?
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 55591 and 55597 is 3090692827.
LCM(55591,55597) = 3090692827
Least Common Multiple of 55591 and 55597 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55591 and 55597, than apply into the LCM equation.
GCF(55591,55597) = 1
LCM(55591,55597) = ( 55591 × 55597) / 1
LCM(55591,55597) = 3090692827 / 1
LCM(55591,55597) = 3090692827
Least Common Multiple (LCM) of 55591 and 55597 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55591 and 55597. First we will calculate the prime factors of 55591 and 55597.
Prime Factorization of 55591
Prime factors of 55591 are 23, 2417. Prime factorization of 55591 in exponential form is:
55591 = 231 × 24171
Prime Factorization of 55597
Prime factors of 55597 are 53, 1049. Prime factorization of 55597 in exponential form is:
55597 = 531 × 10491
Now multiplying the highest exponent prime factors to calculate the LCM of 55591 and 55597.
LCM(55591,55597) = 231 × 24171 × 531 × 10491
LCM(55591,55597) = 3090692827
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