What is the Least Common Multiple of 58173 and 58182?
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 58173 and 58182 is 1128207162.
LCM(58173,58182) = 1128207162
Least Common Multiple of 58173 and 58182 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58173 and 58182, than apply into the LCM equation.
GCF(58173,58182) = 3
LCM(58173,58182) = ( 58173 × 58182) / 3
LCM(58173,58182) = 3384621486 / 3
LCM(58173,58182) = 1128207162
Least Common Multiple (LCM) of 58173 and 58182 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 58173 and 58182. First we will calculate the prime factors of 58173 and 58182.
Prime Factorization of 58173
Prime factors of 58173 are 3, 19391. Prime factorization of 58173 in exponential form is:
58173 = 31 × 193911
Prime Factorization of 58182
Prime factors of 58182 are 2, 3, 9697. Prime factorization of 58182 in exponential form is:
58182 = 21 × 31 × 96971
Now multiplying the highest exponent prime factors to calculate the LCM of 58173 and 58182.
LCM(58173,58182) = 31 × 193911 × 21 × 96971
LCM(58173,58182) = 1128207162
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