What is the Least Common Multiple of 82182 and 82187?
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 82182 and 82187 is 6754292034.
LCM(82182,82187) = 6754292034
Least Common Multiple of 82182 and 82187 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82182 and 82187, than apply into the LCM equation.
GCF(82182,82187) = 1
LCM(82182,82187) = ( 82182 × 82187) / 1
LCM(82182,82187) = 6754292034 / 1
LCM(82182,82187) = 6754292034
Least Common Multiple (LCM) of 82182 and 82187 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 82182 and 82187. First we will calculate the prime factors of 82182 and 82187.
Prime Factorization of 82182
Prime factors of 82182 are 2, 3, 13697. Prime factorization of 82182 in exponential form is:
82182 = 21 × 31 × 136971
Prime Factorization of 82187
Prime factors of 82187 are 7, 59, 199. Prime factorization of 82187 in exponential form is:
82187 = 71 × 591 × 1991
Now multiplying the highest exponent prime factors to calculate the LCM of 82182 and 82187.
LCM(82182,82187) = 21 × 31 × 136971 × 71 × 591 × 1991
LCM(82182,82187) = 6754292034
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