What is the Least Common Multiple of 58154 and 58163?
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 58154 and 58163 is 3382411102.
LCM(58154,58163) = 3382411102
Least Common Multiple of 58154 and 58163 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58154 and 58163, than apply into the LCM equation.
GCF(58154,58163) = 1
LCM(58154,58163) = ( 58154 × 58163) / 1
LCM(58154,58163) = 3382411102 / 1
LCM(58154,58163) = 3382411102
Least Common Multiple (LCM) of 58154 and 58163 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 58154 and 58163. First we will calculate the prime factors of 58154 and 58163.
Prime Factorization of 58154
Prime factors of 58154 are 2, 29077. Prime factorization of 58154 in exponential form is:
58154 = 21 × 290771
Prime Factorization of 58163
Prime factors of 58163 are 7, 1187. Prime factorization of 58163 in exponential form is:
58163 = 72 × 11871
Now multiplying the highest exponent prime factors to calculate the LCM of 58154 and 58163.
LCM(58154,58163) = 21 × 290771 × 72 × 11871
LCM(58154,58163) = 3382411102
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