What is the Least Common Multiple of 82477 and 82488?
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 82477 and 82488 is 6803362776.
LCM(82477,82488) = 6803362776
Least Common Multiple of 82477 and 82488 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82477 and 82488, than apply into the LCM equation.
GCF(82477,82488) = 1
LCM(82477,82488) = ( 82477 × 82488) / 1
LCM(82477,82488) = 6803362776 / 1
LCM(82477,82488) = 6803362776
Least Common Multiple (LCM) of 82477 and 82488 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 82477 and 82488. First we will calculate the prime factors of 82477 and 82488.
Prime Factorization of 82477
Prime factors of 82477 are 67, 1231. Prime factorization of 82477 in exponential form is:
82477 = 671 × 12311
Prime Factorization of 82488
Prime factors of 82488 are 2, 3, 7, 491. Prime factorization of 82488 in exponential form is:
82488 = 23 × 31 × 71 × 4911
Now multiplying the highest exponent prime factors to calculate the LCM of 82477 and 82488.
LCM(82477,82488) = 671 × 12311 × 23 × 31 × 71 × 4911
LCM(82477,82488) = 6803362776
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