What is the Least Common Multiple of 31829 and 31837?
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 31829 and 31837 is 1013339873.
LCM(31829,31837) = 1013339873
Least Common Multiple of 31829 and 31837 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31829 and 31837, than apply into the LCM equation.
GCF(31829,31837) = 1
LCM(31829,31837) = ( 31829 × 31837) / 1
LCM(31829,31837) = 1013339873 / 1
LCM(31829,31837) = 1013339873
Least Common Multiple (LCM) of 31829 and 31837 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 31829 and 31837. First we will calculate the prime factors of 31829 and 31837.
Prime Factorization of 31829
Prime factors of 31829 are 7, 4547. Prime factorization of 31829 in exponential form is:
31829 = 71 × 45471
Prime Factorization of 31837
Prime factors of 31837 are 13, 31, 79. Prime factorization of 31837 in exponential form is:
31837 = 131 × 311 × 791
Now multiplying the highest exponent prime factors to calculate the LCM of 31829 and 31837.
LCM(31829,31837) = 71 × 45471 × 131 × 311 × 791
LCM(31829,31837) = 1013339873
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