What is the Least Common Multiple of 31081 and 31085?
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 31081 and 31085 is 966152885.
LCM(31081,31085) = 966152885
Least Common Multiple of 31081 and 31085 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31081 and 31085, than apply into the LCM equation.
GCF(31081,31085) = 1
LCM(31081,31085) = ( 31081 × 31085) / 1
LCM(31081,31085) = 966152885 / 1
LCM(31081,31085) = 966152885
Least Common Multiple (LCM) of 31081 and 31085 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 31081 and 31085. First we will calculate the prime factors of 31081 and 31085.
Prime Factorization of 31081
Prime factors of 31081 are 31081. Prime factorization of 31081 in exponential form is:
31081 = 310811
Prime Factorization of 31085
Prime factors of 31085 are 5, 6217. Prime factorization of 31085 in exponential form is:
31085 = 51 × 62171
Now multiplying the highest exponent prime factors to calculate the LCM of 31081 and 31085.
LCM(31081,31085) = 310811 × 51 × 62171
LCM(31081,31085) = 966152885
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