What is the Least Common Multiple of 82467 and 82487?
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 82467 and 82487 is 6802455429.
LCM(82467,82487) = 6802455429
Least Common Multiple of 82467 and 82487 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82467 and 82487, than apply into the LCM equation.
GCF(82467,82487) = 1
LCM(82467,82487) = ( 82467 × 82487) / 1
LCM(82467,82487) = 6802455429 / 1
LCM(82467,82487) = 6802455429
Least Common Multiple (LCM) of 82467 and 82487 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 82467 and 82487. First we will calculate the prime factors of 82467 and 82487.
Prime Factorization of 82467
Prime factors of 82467 are 3, 7, 11, 17. Prime factorization of 82467 in exponential form is:
82467 = 32 × 72 × 111 × 171
Prime Factorization of 82487
Prime factors of 82487 are 82487. Prime factorization of 82487 in exponential form is:
82487 = 824871
Now multiplying the highest exponent prime factors to calculate the LCM of 82467 and 82487.
LCM(82467,82487) = 32 × 72 × 111 × 171 × 824871
LCM(82467,82487) = 6802455429
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