What is the Least Common Multiple of 60873 and 60893?
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 60873 and 60893 is 3706739589.
LCM(60873,60893) = 3706739589
Least Common Multiple of 60873 and 60893 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60873 and 60893, than apply into the LCM equation.
GCF(60873,60893) = 1
LCM(60873,60893) = ( 60873 × 60893) / 1
LCM(60873,60893) = 3706739589 / 1
LCM(60873,60893) = 3706739589
Least Common Multiple (LCM) of 60873 and 60893 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60873 and 60893. First we will calculate the prime factors of 60873 and 60893.
Prime Factorization of 60873
Prime factors of 60873 are 3, 103, 197. Prime factorization of 60873 in exponential form is:
60873 = 31 × 1031 × 1971
Prime Factorization of 60893
Prime factors of 60893 are 7, 8699. Prime factorization of 60893 in exponential form is:
60893 = 71 × 86991
Now multiplying the highest exponent prime factors to calculate the LCM of 60873 and 60893.
LCM(60873,60893) = 31 × 1031 × 1971 × 71 × 86991
LCM(60873,60893) = 3706739589
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