What is the Least Common Multiple of 55829 and 55847?
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 55829 and 55847 is 3117882163.
LCM(55829,55847) = 3117882163
Least Common Multiple of 55829 and 55847 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55829 and 55847, than apply into the LCM equation.
GCF(55829,55847) = 1
LCM(55829,55847) = ( 55829 × 55847) / 1
LCM(55829,55847) = 3117882163 / 1
LCM(55829,55847) = 3117882163
Least Common Multiple (LCM) of 55829 and 55847 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55829 and 55847. First we will calculate the prime factors of 55829 and 55847.
Prime Factorization of 55829
Prime factors of 55829 are 55829. Prime factorization of 55829 in exponential form is:
55829 = 558291
Prime Factorization of 55847
Prime factors of 55847 are 11, 5077. Prime factorization of 55847 in exponential form is:
55847 = 111 × 50771
Now multiplying the highest exponent prime factors to calculate the LCM of 55829 and 55847.
LCM(55829,55847) = 558291 × 111 × 50771
LCM(55829,55847) = 3117882163
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