What is the Least Common Multiple of 31321 and 31335?
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 31321 and 31335 is 981443535.
LCM(31321,31335) = 981443535
Least Common Multiple of 31321 and 31335 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31321 and 31335, than apply into the LCM equation.
GCF(31321,31335) = 1
LCM(31321,31335) = ( 31321 × 31335) / 1
LCM(31321,31335) = 981443535 / 1
LCM(31321,31335) = 981443535
Least Common Multiple (LCM) of 31321 and 31335 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 31321 and 31335. First we will calculate the prime factors of 31321 and 31335.
Prime Factorization of 31321
Prime factors of 31321 are 31321. Prime factorization of 31321 in exponential form is:
31321 = 313211
Prime Factorization of 31335
Prime factors of 31335 are 3, 5, 2089. Prime factorization of 31335 in exponential form is:
31335 = 31 × 51 × 20891
Now multiplying the highest exponent prime factors to calculate the LCM of 31321 and 31335.
LCM(31321,31335) = 313211 × 31 × 51 × 20891
LCM(31321,31335) = 981443535
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