What is the Least Common Multiple of 82907 and 82911?
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 82907 and 82911 is 6873902277.
LCM(82907,82911) = 6873902277
Least Common Multiple of 82907 and 82911 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82907 and 82911, than apply into the LCM equation.
GCF(82907,82911) = 1
LCM(82907,82911) = ( 82907 × 82911) / 1
LCM(82907,82911) = 6873902277 / 1
LCM(82907,82911) = 6873902277
Least Common Multiple (LCM) of 82907 and 82911 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 82907 and 82911. First we will calculate the prime factors of 82907 and 82911.
Prime Factorization of 82907
Prime factors of 82907 are 11, 7537. Prime factorization of 82907 in exponential form is:
82907 = 111 × 75371
Prime Factorization of 82911
Prime factors of 82911 are 3, 29, 953. Prime factorization of 82911 in exponential form is:
82911 = 31 × 291 × 9531
Now multiplying the highest exponent prime factors to calculate the LCM of 82907 and 82911.
LCM(82907,82911) = 111 × 75371 × 31 × 291 × 9531
LCM(82907,82911) = 6873902277
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