What is the Least Common Multiple of 5881 and 5885?
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 5881 and 5885 is 34609685.
LCM(5881,5885) = 34609685
Least Common Multiple of 5881 and 5885 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5881 and 5885, than apply into the LCM equation.
GCF(5881,5885) = 1
LCM(5881,5885) = ( 5881 × 5885) / 1
LCM(5881,5885) = 34609685 / 1
LCM(5881,5885) = 34609685
Least Common Multiple (LCM) of 5881 and 5885 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 5881 and 5885. First we will calculate the prime factors of 5881 and 5885.
Prime Factorization of 5881
Prime factors of 5881 are 5881. Prime factorization of 5881 in exponential form is:
5881 = 58811
Prime Factorization of 5885
Prime factors of 5885 are 5, 11, 107. Prime factorization of 5885 in exponential form is:
5885 = 51 × 111 × 1071
Now multiplying the highest exponent prime factors to calculate the LCM of 5881 and 5885.
LCM(5881,5885) = 58811 × 51 × 111 × 1071
LCM(5881,5885) = 34609685
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