What is the Least Common Multiple of 31975 and 31993?
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 31975 and 31993 is 1022976175.
LCM(31975,31993) = 1022976175
Least Common Multiple of 31975 and 31993 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31975 and 31993, than apply into the LCM equation.
GCF(31975,31993) = 1
LCM(31975,31993) = ( 31975 × 31993) / 1
LCM(31975,31993) = 1022976175 / 1
LCM(31975,31993) = 1022976175
Least Common Multiple (LCM) of 31975 and 31993 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 31975 and 31993. First we will calculate the prime factors of 31975 and 31993.
Prime Factorization of 31975
Prime factors of 31975 are 5, 1279. Prime factorization of 31975 in exponential form is:
31975 = 52 × 12791
Prime Factorization of 31993
Prime factors of 31993 are 13, 23, 107. Prime factorization of 31993 in exponential form is:
31993 = 131 × 231 × 1071
Now multiplying the highest exponent prime factors to calculate the LCM of 31975 and 31993.
LCM(31975,31993) = 52 × 12791 × 131 × 231 × 1071
LCM(31975,31993) = 1022976175
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