What is the Least Common Multiple of 55804 and 55823?
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 55804 and 55823 is 3115146692.
LCM(55804,55823) = 3115146692
Least Common Multiple of 55804 and 55823 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55804 and 55823, than apply into the LCM equation.
GCF(55804,55823) = 1
LCM(55804,55823) = ( 55804 × 55823) / 1
LCM(55804,55823) = 3115146692 / 1
LCM(55804,55823) = 3115146692
Least Common Multiple (LCM) of 55804 and 55823 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55804 and 55823. First we will calculate the prime factors of 55804 and 55823.
Prime Factorization of 55804
Prime factors of 55804 are 2, 7, 1993. Prime factorization of 55804 in exponential form is:
55804 = 22 × 71 × 19931
Prime Factorization of 55823
Prime factors of 55823 are 55823. Prime factorization of 55823 in exponential form is:
55823 = 558231
Now multiplying the highest exponent prime factors to calculate the LCM of 55804 and 55823.
LCM(55804,55823) = 22 × 71 × 19931 × 558231
LCM(55804,55823) = 3115146692
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