What is the Least Common Multiple of 55587 and 55598?
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 55587 and 55598 is 3090526026.
LCM(55587,55598) = 3090526026
Least Common Multiple of 55587 and 55598 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55587 and 55598, than apply into the LCM equation.
GCF(55587,55598) = 1
LCM(55587,55598) = ( 55587 × 55598) / 1
LCM(55587,55598) = 3090526026 / 1
LCM(55587,55598) = 3090526026
Least Common Multiple (LCM) of 55587 and 55598 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55587 and 55598. First we will calculate the prime factors of 55587 and 55598.
Prime Factorization of 55587
Prime factors of 55587 are 3, 7, 2647. Prime factorization of 55587 in exponential form is:
55587 = 31 × 71 × 26471
Prime Factorization of 55598
Prime factors of 55598 are 2, 27799. Prime factorization of 55598 in exponential form is:
55598 = 21 × 277991
Now multiplying the highest exponent prime factors to calculate the LCM of 55587 and 55598.
LCM(55587,55598) = 31 × 71 × 26471 × 21 × 277991
LCM(55587,55598) = 3090526026
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