What is the Least Common Multiple of 31130 and 31147?
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 31130 and 31147 is 969606110.
LCM(31130,31147) = 969606110
Least Common Multiple of 31130 and 31147 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31130 and 31147, than apply into the LCM equation.
GCF(31130,31147) = 1
LCM(31130,31147) = ( 31130 × 31147) / 1
LCM(31130,31147) = 969606110 / 1
LCM(31130,31147) = 969606110
Least Common Multiple (LCM) of 31130 and 31147 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 31130 and 31147. First we will calculate the prime factors of 31130 and 31147.
Prime Factorization of 31130
Prime factors of 31130 are 2, 5, 11, 283. Prime factorization of 31130 in exponential form is:
31130 = 21 × 51 × 111 × 2831
Prime Factorization of 31147
Prime factors of 31147 are 31147. Prime factorization of 31147 in exponential form is:
31147 = 311471
Now multiplying the highest exponent prime factors to calculate the LCM of 31130 and 31147.
LCM(31130,31147) = 21 × 51 × 111 × 2831 × 311471
LCM(31130,31147) = 969606110
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