What is the Least Common Multiple of 82923 and 82927?
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 82923 and 82927 is 6876555621.
LCM(82923,82927) = 6876555621
Least Common Multiple of 82923 and 82927 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82923 and 82927, than apply into the LCM equation.
GCF(82923,82927) = 1
LCM(82923,82927) = ( 82923 × 82927) / 1
LCM(82923,82927) = 6876555621 / 1
LCM(82923,82927) = 6876555621
Least Common Multiple (LCM) of 82923 and 82927 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 82923 and 82927. First we will calculate the prime factors of 82923 and 82927.
Prime Factorization of 82923
Prime factors of 82923 are 3, 131, 211. Prime factorization of 82923 in exponential form is:
82923 = 31 × 1311 × 2111
Prime Factorization of 82927
Prime factors of 82927 are 13, 6379. Prime factorization of 82927 in exponential form is:
82927 = 131 × 63791
Now multiplying the highest exponent prime factors to calculate the LCM of 82923 and 82927.
LCM(82923,82927) = 31 × 1311 × 2111 × 131 × 63791
LCM(82923,82927) = 6876555621
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