What is the Least Common Multiple of 5981 and 5987?
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 5981 and 5987 is 35808247.
LCM(5981,5987) = 35808247
Least Common Multiple of 5981 and 5987 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5981 and 5987, than apply into the LCM equation.
GCF(5981,5987) = 1
LCM(5981,5987) = ( 5981 × 5987) / 1
LCM(5981,5987) = 35808247 / 1
LCM(5981,5987) = 35808247
Least Common Multiple (LCM) of 5981 and 5987 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 5981 and 5987. First we will calculate the prime factors of 5981 and 5987.
Prime Factorization of 5981
Prime factors of 5981 are 5981. Prime factorization of 5981 in exponential form is:
5981 = 59811
Prime Factorization of 5987
Prime factors of 5987 are 5987. Prime factorization of 5987 in exponential form is:
5987 = 59871
Now multiplying the highest exponent prime factors to calculate the LCM of 5981 and 5987.
LCM(5981,5987) = 59811 × 59871
LCM(5981,5987) = 35808247
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