What is the Least Common Multiple of 31899 and 31904?
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 31899 and 31904 is 1017705696.
LCM(31899,31904) = 1017705696
Least Common Multiple of 31899 and 31904 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31899 and 31904, than apply into the LCM equation.
GCF(31899,31904) = 1
LCM(31899,31904) = ( 31899 × 31904) / 1
LCM(31899,31904) = 1017705696 / 1
LCM(31899,31904) = 1017705696
Least Common Multiple (LCM) of 31899 and 31904 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 31899 and 31904. First we will calculate the prime factors of 31899 and 31904.
Prime Factorization of 31899
Prime factors of 31899 are 3, 7, 31. Prime factorization of 31899 in exponential form is:
31899 = 31 × 73 × 311
Prime Factorization of 31904
Prime factors of 31904 are 2, 997. Prime factorization of 31904 in exponential form is:
31904 = 25 × 9971
Now multiplying the highest exponent prime factors to calculate the LCM of 31899 and 31904.
LCM(31899,31904) = 31 × 73 × 311 × 25 × 9971
LCM(31899,31904) = 1017705696
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