What is the Least Common Multiple of 82637 and 82655?
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 82637 and 82655 is 6830361235.
LCM(82637,82655) = 6830361235
Least Common Multiple of 82637 and 82655 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82637 and 82655, than apply into the LCM equation.
GCF(82637,82655) = 1
LCM(82637,82655) = ( 82637 × 82655) / 1
LCM(82637,82655) = 6830361235 / 1
LCM(82637,82655) = 6830361235
Least Common Multiple (LCM) of 82637 and 82655 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 82637 and 82655. First we will calculate the prime factors of 82637 and 82655.
Prime Factorization of 82637
Prime factors of 82637 are 17, 4861. Prime factorization of 82637 in exponential form is:
82637 = 171 × 48611
Prime Factorization of 82655
Prime factors of 82655 are 5, 61, 271. Prime factorization of 82655 in exponential form is:
82655 = 51 × 611 × 2711
Now multiplying the highest exponent prime factors to calculate the LCM of 82637 and 82655.
LCM(82637,82655) = 171 × 48611 × 51 × 611 × 2711
LCM(82637,82655) = 6830361235
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