What is the Least Common Multiple of 27182 and 27186?
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 27182 and 27186 is 369484926.
LCM(27182,27186) = 369484926
Least Common Multiple of 27182 and 27186 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27182 and 27186, than apply into the LCM equation.
GCF(27182,27186) = 2
LCM(27182,27186) = ( 27182 × 27186) / 2
LCM(27182,27186) = 738969852 / 2
LCM(27182,27186) = 369484926
Least Common Multiple (LCM) of 27182 and 27186 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 27182 and 27186. First we will calculate the prime factors of 27182 and 27186.
Prime Factorization of 27182
Prime factors of 27182 are 2, 13591. Prime factorization of 27182 in exponential form is:
27182 = 21 × 135911
Prime Factorization of 27186
Prime factors of 27186 are 2, 3, 23, 197. Prime factorization of 27186 in exponential form is:
27186 = 21 × 31 × 231 × 1971
Now multiplying the highest exponent prime factors to calculate the LCM of 27182 and 27186.
LCM(27182,27186) = 21 × 135911 × 31 × 231 × 1971
LCM(27182,27186) = 369484926
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