What is the Least Common Multiple of 55867 and 55886?
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 55867 and 55886 is 3122183162.
LCM(55867,55886) = 3122183162
Least Common Multiple of 55867 and 55886 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55867 and 55886, than apply into the LCM equation.
GCF(55867,55886) = 1
LCM(55867,55886) = ( 55867 × 55886) / 1
LCM(55867,55886) = 3122183162 / 1
LCM(55867,55886) = 3122183162
Least Common Multiple (LCM) of 55867 and 55886 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55867 and 55886. First we will calculate the prime factors of 55867 and 55886.
Prime Factorization of 55867
Prime factors of 55867 are 7, 23, 347. Prime factorization of 55867 in exponential form is:
55867 = 71 × 231 × 3471
Prime Factorization of 55886
Prime factors of 55886 are 2, 27943. Prime factorization of 55886 in exponential form is:
55886 = 21 × 279431
Now multiplying the highest exponent prime factors to calculate the LCM of 55867 and 55886.
LCM(55867,55886) = 71 × 231 × 3471 × 21 × 279431
LCM(55867,55886) = 3122183162
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