What is the Least Common Multiple of 82899 and 82915?
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 82899 and 82915 is 6873570585.
LCM(82899,82915) = 6873570585
Least Common Multiple of 82899 and 82915 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82899 and 82915, than apply into the LCM equation.
GCF(82899,82915) = 1
LCM(82899,82915) = ( 82899 × 82915) / 1
LCM(82899,82915) = 6873570585 / 1
LCM(82899,82915) = 6873570585
Least Common Multiple (LCM) of 82899 and 82915 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 82899 and 82915. First we will calculate the prime factors of 82899 and 82915.
Prime Factorization of 82899
Prime factors of 82899 are 3, 61, 151. Prime factorization of 82899 in exponential form is:
82899 = 32 × 611 × 1511
Prime Factorization of 82915
Prime factors of 82915 are 5, 7, 23, 103. Prime factorization of 82915 in exponential form is:
82915 = 51 × 71 × 231 × 1031
Now multiplying the highest exponent prime factors to calculate the LCM of 82899 and 82915.
LCM(82899,82915) = 32 × 611 × 1511 × 51 × 71 × 231 × 1031
LCM(82899,82915) = 6873570585
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