What is the Least Common Multiple of 60082 and 60087?
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 60082 and 60087 is 3610147134.
LCM(60082,60087) = 3610147134
Least Common Multiple of 60082 and 60087 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60082 and 60087, than apply into the LCM equation.
GCF(60082,60087) = 1
LCM(60082,60087) = ( 60082 × 60087) / 1
LCM(60082,60087) = 3610147134 / 1
LCM(60082,60087) = 3610147134
Least Common Multiple (LCM) of 60082 and 60087 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60082 and 60087. First we will calculate the prime factors of 60082 and 60087.
Prime Factorization of 60082
Prime factors of 60082 are 2, 11, 2731. Prime factorization of 60082 in exponential form is:
60082 = 21 × 111 × 27311
Prime Factorization of 60087
Prime factors of 60087 are 3, 20029. Prime factorization of 60087 in exponential form is:
60087 = 31 × 200291
Now multiplying the highest exponent prime factors to calculate the LCM of 60082 and 60087.
LCM(60082,60087) = 21 × 111 × 27311 × 31 × 200291
LCM(60082,60087) = 3610147134
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