What is the Least Common Multiple of 60861 and 60865?
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 60861 and 60865 is 3704304765.
LCM(60861,60865) = 3704304765
Least Common Multiple of 60861 and 60865 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60861 and 60865, than apply into the LCM equation.
GCF(60861,60865) = 1
LCM(60861,60865) = ( 60861 × 60865) / 1
LCM(60861,60865) = 3704304765 / 1
LCM(60861,60865) = 3704304765
Least Common Multiple (LCM) of 60861 and 60865 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60861 and 60865. First we will calculate the prime factors of 60861 and 60865.
Prime Factorization of 60861
Prime factors of 60861 are 3, 20287. Prime factorization of 60861 in exponential form is:
60861 = 31 × 202871
Prime Factorization of 60865
Prime factors of 60865 are 5, 7, 37, 47. Prime factorization of 60865 in exponential form is:
60865 = 51 × 71 × 371 × 471
Now multiplying the highest exponent prime factors to calculate the LCM of 60861 and 60865.
LCM(60861,60865) = 31 × 202871 × 51 × 71 × 371 × 471
LCM(60861,60865) = 3704304765
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