What is the Least Common Multiple of 55847 and 55867?
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 55847 and 55867 is 3120004349.
LCM(55847,55867) = 3120004349
Least Common Multiple of 55847 and 55867 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55847 and 55867, than apply into the LCM equation.
GCF(55847,55867) = 1
LCM(55847,55867) = ( 55847 × 55867) / 1
LCM(55847,55867) = 3120004349 / 1
LCM(55847,55867) = 3120004349
Least Common Multiple (LCM) of 55847 and 55867 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55847 and 55867. First we will calculate the prime factors of 55847 and 55867.
Prime Factorization of 55847
Prime factors of 55847 are 11, 5077. Prime factorization of 55847 in exponential form is:
55847 = 111 × 50771
Prime Factorization of 55867
Prime factors of 55867 are 7, 23, 347. Prime factorization of 55867 in exponential form is:
55867 = 71 × 231 × 3471
Now multiplying the highest exponent prime factors to calculate the LCM of 55847 and 55867.
LCM(55847,55867) = 111 × 50771 × 71 × 231 × 3471
LCM(55847,55867) = 3120004349
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