What is the Least Common Multiple of 55834 and 55842?
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 55834 and 55842 is 1558941114.
LCM(55834,55842) = 1558941114
Least Common Multiple of 55834 and 55842 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55834 and 55842, than apply into the LCM equation.
GCF(55834,55842) = 2
LCM(55834,55842) = ( 55834 × 55842) / 2
LCM(55834,55842) = 3117882228 / 2
LCM(55834,55842) = 1558941114
Least Common Multiple (LCM) of 55834 and 55842 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55834 and 55842. First we will calculate the prime factors of 55834 and 55842.
Prime Factorization of 55834
Prime factors of 55834 are 2, 27917. Prime factorization of 55834 in exponential form is:
55834 = 21 × 279171
Prime Factorization of 55842
Prime factors of 55842 are 2, 3, 41, 227. Prime factorization of 55842 in exponential form is:
55842 = 21 × 31 × 411 × 2271
Now multiplying the highest exponent prime factors to calculate the LCM of 55834 and 55842.
LCM(55834,55842) = 21 × 279171 × 31 × 411 × 2271
LCM(55834,55842) = 1558941114
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