What is the Least Common Multiple of 31904 and 31915?
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 31904 and 31915 is 1018216160.
LCM(31904,31915) = 1018216160
Least Common Multiple of 31904 and 31915 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31904 and 31915, than apply into the LCM equation.
GCF(31904,31915) = 1
LCM(31904,31915) = ( 31904 × 31915) / 1
LCM(31904,31915) = 1018216160 / 1
LCM(31904,31915) = 1018216160
Least Common Multiple (LCM) of 31904 and 31915 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 31904 and 31915. First we will calculate the prime factors of 31904 and 31915.
Prime Factorization of 31904
Prime factors of 31904 are 2, 997. Prime factorization of 31904 in exponential form is:
31904 = 25 × 9971
Prime Factorization of 31915
Prime factors of 31915 are 5, 13, 491. Prime factorization of 31915 in exponential form is:
31915 = 51 × 131 × 4911
Now multiplying the highest exponent prime factors to calculate the LCM of 31904 and 31915.
LCM(31904,31915) = 25 × 9971 × 51 × 131 × 4911
LCM(31904,31915) = 1018216160
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